What is Projectile motion: Definition and 1000 Discussions
Projectile motion is a form of motion experienced by a launched object. Ballistics (Greek: βάλλειν, romanized: ba'llein, lit. 'to throw') is the science of dynamics that deals with the flight, behavior and effects of projectiles, especially bullets, unguided bombs, rockets, or the like; the science or art of designing and accelerating projectiles so as to achieve a desired performance.
Here is the problem :
A Sniper is lying in a prone position such that the barrel of his rifle is parallel to and 30cm above the ground. The muzzle velocity of his rifle is 800m/s
A target appears at a distance of 1250m with the centre of the target 1.2m above ground level. If the sniper...
Homework Statement
A ball is launched from a 35.0m high cliff with an initial velocity of 47.0m/s at an angle of 39.0 degrees above the horizontal. On the way down it just clears a 2m high wall.
A) How far away is the wall?
Homework Equations
Delta D=Vx*T + 1/2*a*t^2
The Attempt at...
A field goal kicker kicks the football so that it leaves the ground with velocity V that is 50 degrees above horizontal. The ball travels for 3.24s and hits the crossbar 10.00 ft above the ground. Neglect air resistance.
Find the velocity after the kicker kicks the ball.
Find the horizontal...
1. A physics professor did daredevil stunts in his spare time. His last stunt was an attempt to jump across a river on a motorcycle. The takeoff ramp was inclined at 53 degrees, the river was 40 m. wide and the far bank was 15 m lower than the top of the ramp. The river itself was 100 m. below...
Conservation of Energy- A Skier on a Snowball
Homework Statement
A skier of mass "m" starts at the top of a very large frictionless hemispherical snowball of radius "r" with a very small initial speed and skis straight down the side. Treat the skier as a point particle.
a) At what angle...
I need help! I understand regular projectile, but when it comes to using an angle it drives me crazy!
The vertical distance is 15.01 m
Horizontal distance is 21.84 m
Angle is 45°
I figured the time to be 2.1 sec
I need the velocity
And VsubF is 0...right?
I just need the help guys, thanks
1. a projectile is fired into the air at a projection angle of 30° above the ground. its initial speed is 327 m/s. what is its speed 3 seconds later
2.the speed of a projectile at its maximum height was 40% of its speed at ground level. find the angle of elevation.
3.a man stands on a...
Problem statement is here: http://www.phys.uri.edu/~gerhard/PHY520/wmex139.pdf
My approach:
y = -\frac{gt^2}{2} + v_0 cos( \alpha) t + h
Projectile hits ground at:
t_{gnd} = \frac{v_0 sin( \alpha ) + \sqrt{ v_0^2 sin^2 ( \alpha) + 2gh}}{g}
Now compute derivative of x and solve for alpha...
Homework Statement
A basketball leaves a player's hands at height of 2.1 m above floor. the basket is 2.6 m above the floor, player shoots the ball at a 38° angle from horizontal. if the shot is made from a distance of 11.22 meters what is initial speed?
answer is 11 m/s
Homework...
Homework Statement
A diver springs upward from a board that is 3m above the water. At the instant she contacts the water her speed is 8.90 m/s and her body makes an angle of 75 degrees with respect to the horizontal surface of the water. Determine her initial velocity, both magnitude and...
Homework Statement
An arrow is shot at an angle of θ=45* above the horizontal. The arrow hits a tree a horizontal distance D=220m away, at the same height above the ground as it was shot.
Use g=9.8m/s^2 for the magnitude of the acceleration due to gravity.
Find t, the time that the arrow...
Homework Statement
In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 4.4 m away. After a running start, he leaps at an angle of 15◦ with respect to the flat roof while traveling at a speed of 5.0 m/s. The acceleration of gravity is...
First, I struggled with whether to put this in advanced or intro physics. I read the sticky, and since this is a 300 level class that is taken at the junior level in the physics BS program at my school, I put it here. If it's considered too simplistic for advanced physics, I apologize.
I've...
So we did a lab in class using an inclined air table, two pucks and a spark timer. Only one puck was used and we "launched" it in a way that when the spark timer was activated, it traced a parabola on the sheet of paper over the air table.
What I don't understand is: why is horizontal...
Homework Statement
A shot-putter throws the shot with an initial speed of 11.2 m/s from a height of 5.00 ft above the ground. What is the range of the shot if the launch angle is a) 20 degrees, b) 30 degrees, or c) 40 degrees?Homework Equations
y = 1/2 gt^2
x = vt
R= Range
R =...
Homework Statement
A projectile is launched at a 45 degree angle 1.2m off the ground. Its horizontal displacement is 25.58m. Assuming no wind resistance or friction or anything like that, how long did the launch take?
horizontal:
ΔDx=25.58m
Vertical:
ΔDy=1.2m
a=9.8m/s^2
θ, or...
Homework Statement
A ball is thrown horizontally with speed u from a height of 20m. It hits the ground with a speed 3u. Find the value of u, and the angle at which the ball strikes the ground.
Homework Equations
The equations of motion.
The Attempt at a Solution
I know that I must...
Homework Statement
A car is drove off a cliff at 8 m/s. it lands in the sea 3 seconds later.
Homework Equations
a) how far does it land?
b)how high is the cliff? (g = 10m/s^2)
c) at what angle relative to the horizontal does it land?
The Attempt at a Solution
convention chosen : upwards is...
Homework Statement
A rifle is aimed horizontally at a target 100 ft. away. The bullet hits the target
0.75 in. below the aiming point. (a) Calculate the bullet’s time of flight. (b)
Calculate the muzzle velocity of the rifle. (g = 32 ft/s
Homework Equations
delta x = vx * t...
Homework Statement
A golf ball is hit with a velocity of 50 m/s. The angle to the ground is 17 degrees. find t
Homework Equations
The equation my teacher provided was: y=vi(sinθt)-4.9t^2
The Attempt at a Solution
0= 50sin17-4.9t^2
0=-4.9t^2-48.1t
this is where i got...
Homework Statement
A skydiver deploys his parachute when he is 860 m. directly above his desired landing spot. He then falls through the air at a steady 5.8 m/s . There is a breeze blowing to the west at 2.0 m/s. At what angle with respect to vertical does he fall? By what distance will he...
Homework Statement
Calculate the trajectory of our canon shell including both air drag and reduced air density at high altitudes so that you can reproduce the results in Figure 2.5. Perform your calculation for different firing angles and determine the value of the angle that gives the...
Homework Statement
Find the initial velocity and the maximum height of the rocket.
Angle = 90˚
Horizontal distance = 0 m
Time = 6.55 seconds
Homework Equations
Suvat equations.
The Attempt at a Solution
s = ut + 1/2a(t^2)
s = 6.55u
0/6.55 = u
?
Please help!
Homework Statement
Find the initial velocity and the maximum height
θ = 28˚
horizontal range/distance/s = 68 m
time = 6.30 s
Homework Equations
suvat equations not so sure which one though
The Attempt at a Solution
I think to find the initial velocity I use the equation...
Homework Statement
A missile is launched from a fighter jet cruising horizontally at a speed of 280 m/s, at an altitude of 1800 m. The initial velocity of the missile relative to the fighter jet is 160 m/s, in the forward direction. The missile is powered by its own engine, which provides it...
Homework Statement
A projectile of mass 1300kg is launched from the ground (x =0, y =0)
initial velocity components Vx=Vy=108m/s
aerodynamic drag force is of magnitude C(V)^2
where C = 0.6
Homework Equations
Finding the range and angular momentum initial and final
The Attempt...
I am taking an online intro to physics course and was required to watch lecture videos.
My prof tells me to maximize my range by differentiating the function. My calculus is a bit rusty could someone refreshen my memory of how to do this? I believe i am solving for α.
(dΔx/ dα) = 0 ...
Homework Statement
A golf ball is launched from the roof of a school with a velocity of 20 ms at an angle of 30 deg above the horizontal.
Homework Equations
If the roof is 40m above the ground, calculate
a) the ball's time of flight
b)the ball's horizontal displacementThe Attempt at a...
a cannonball is fired with initial velocity v0 at an angle 30 above the horizontal from the height of 40m above the ground. the projection strikes the ground with a speed of 1.2*v0. find v0
Homework Statement
A person decides to jump a canyon. The walls are equally high and 10 meters apart. He takes off by driving a motorcycle up a short ramp sloped at 11 degrees. What minimum speed must he have to clear the canyon?
Homework Equations
I don't know if these are correct or...
Homework Statement
Hi, I have this physics question that i need help with, I don't really understand the question so can anyone explain it to me?
Home Work Question :
Suppose you see a 10m tall building nearby and you want to throw a snowball up and onto its roof. You notice a...
- I need to find the appropriate launch angle that will land an object 65 meters north of my position. Therefore Δdx = 65m [N]
- I am told that the time the object take to hit the ground is 5.23 seconds. Therefore Δt = 5.23s
- I then used the equation Δdx = v1xΔt to find v1x = 12.43 m/s...
Really can't figure this out by dividing x and y. The only way i can do it is with equations that use quadratics and I can't do that in my head for a test were I'm not allowed a calculator.Please help, Thank you!
You flick a ball from a tabletop, so that the ball lands on the floor 1.20 m...
Homework Statement
A knight fires a cannon ball from the top of the castle wall. the cannonball is fired at a speed of 55 m/s and an angle of 27 degrees above horizontal. A cannon ball is accidentally dropped and hits the moat below in 1.4s.
how far from the wall does the cannon ball hit...
A helicopter at rest on the ground started to accelerate uniformely upwards. After 30s a flare was fired horizontly from the helicopter. An observer on the ground measured the time the flare reached the ground as 10 seconds. Neglect air resistance.
A) acceleration of helicopter
B) height...
Hello! Thank you forum for providing help for my last thread :).
So far, have 2 more problems which I have some idea how to solve, but not enough to solve it.
Homework Statement
A stone is projected at an initial speed of 120 ft/s directed 62 degrees above the horizontal , at a...
Homework Statement
A rock is thrown from the top of a slope that makes an angle of 30 degrees with the horizontal. At what angle to the horizontal should the rock be thrown to get a maximum range? (Hint: pick the direction of the slope as a new x-axis and the normal to the slope as the new y...
Homework Statement
A golfer hits the ball with an initial speed of 109km/hr
A) What is the longest hole in one (in km) that he golfer can make without the ball rolling?
B)How much time does the ball spend in the air
C) What is the maximum height reached by the ball
Homework Equations...
Projectile motion question
Homework Statement
A 5200 kg cart carrying a vertical rocket launcher moves to the right at a constant speed of 33.0 m/s along a horizontal track. It launches a 49.4 kg rocket vertically upward with an initial speed of 43.1 m/s relative to the cart.
a)How...
Homework Statement
Show that the range R can be expressed in terms of maximum height h, and in particular that R=4hcot\Theta. Show that, when range is at a maximum, h=R/4
Homework Equations
R=(v(o)^2*2sin\Thetacos\Theta)/g
v(y)^2=v(yo)^2-2gh
The Attempt at a Solution
I used the second...
Homework Statement
Homework Equations
Famous Five equations for uniform accelerated motion
The Attempt at a Solution
To be honest, I have absolutely no idea where to start. The only thing that I notice is that at the point where you're given the velocity vector (when the projectile is 10m...
Homework Statement
According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy “Dizzy” Carlyle in a minor league game. The ball traveled 188 m before landing on the ground outside the ballpark.
Assuming the ball's initial velocity was 56 degrees above...
Homework Statement
In fighting forest fires, airplanes work in support of ground crews by dropping water on the fires. A pilot is practicing by dropping a canister of red dye, hoping to hit a target on the ground below.
if the plane is flying in a horizontal path at an altitude of 86.0 m...
This is an even problem from Cutnell & Johnson 8 edition. Can anyone verify if it is correct?
In the annual battle of the dorms, students gather on the roofs of Jackson and Walton dorms to launch water balloons at each other with slingshots. The horizontal distance between the buildings is 35.0...
Homework Statement
The snowmobile is traveling at 10m/s when it leaves the embankment at A. The angle that the snowmobile leaves its elevated jump is 40 degrees. Determine the time and flight from A to B and the range R of the trajectory.
The slope of the mountain is a 3-4-5 triangle...
Homework Statement
You and a friend stand on a snow-covered roof. You both throw snowballs from an elevation of 15 m with the same initial speed of 13 m/s, but in different directions. You through your snowball downward, at 40° below the horizontal; your friend throws her snowball upward, at...
There are two problems involving projectile motion and angles I am having problems with
Homework Statement
You are watching an archery tournament when you start wondering how fast an arrow is shot from the bow. Remembering your physics, you ask one of the archers to shoot an arrow parallel...
Homework Statement
A ball is shot from the ground into the air. At a height of 8.7 m, its velocity is = 7.1 + 6.1 m/s, with horizontal and upward. (a) To what maximum height does the ball rise? (b) What total horizontal distance does the ball travel? What are the (c) magnitude and (d) angle...
Homework Statement
In the figure, you throw a ball toward a wall at speed 26.0 m/s and at angle θ0 = 37.0˚ above the horizontal. The wall is distance d = 17.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and...