First, I tried solving for the total time of flight, which I got as 100 = 5cos25*t --> t=22 s
Since we know the height at which the object lands, but not at which it is launched, I tried setting up the equation as:
yf = 40 - y0 = y0 + 5sin25*(22) - 1/2(9.8)(22)^2
However, I got y0 = 1183 m...
I am just not sure if I did this properly. My professor hasn't really gone over when to use the range equation but I would assume range would equal the distance traveled therefore can be used for this problem. If not the how would I go about solving this?
I did 1/6*9.8=1.63 for g on the moon...
My reasoning and answer is wrong, but I cannot figure out why.
Perhaps it is strange, perhaps not, but I want to figure out why my initial method of solving this problem did yield an incorrect answer.
I began by creating an equation and drawing a right triangle.
x is the horizontal part of...
Here's a fully typed version of the problem with a diagram
My attempt:
Given the angle of the hill, I know that the horizontal displacement of the arrow and my vertical height on the hill are related by
##Δx=d+\frac h {Tan(60)}## ...(1)
where d is the distance of the enemy from the base...
I was told to generate these variables (m, C, alpha, wind velocity) normally distributed and compare the random data with the result and then tell, which of the variables has the most impact. Here I am stuck, tried to compare variances, kurtosis and skewness of the data (the original variables...
So I just learned about projectile motion. I understand why you can study it as two independent straight line motions . But this can give you a way to calculate total velocities or accelerations, just by adding its individual component of each vector.
If the initial position of the projectile...
1. Homework Statement
I got an experimental vertical acceleration of -12 m/s^2 of projectile motion for an experiment I did at home where I just had to throw a ball at around 45 degree to the horizontal up in the air and record it's motion, then analyze the motion via computer software...
1. Homework Statement
A boomerang is thrown with an initial linear velocity of 5 m/s at an angle of 30 degrees vertically. The initial angular velocity is ##2\frac{revolutions}{s}## At its peak, it has a displacement about the z axis of 2 meters and about the x axis of 10 meters. The force...
1. Homework Statement
2. Homework Equations
The kinematic equations--namely, Sf = S0 + V0Δt
3. The Attempt at a Solution
I am a bit confused as it seems this problem is very straight-forward.
My known variables:
X0 = 0m
Y0 = 1.7m
Δt = 3.92s
V0 = 29m/s
Θ = 60ο
Yf = ?
So, I just use the...
1. Homework Statement
determine the acute angle (in radians) of appropriate elevation in the throwing of a ball, if the initial velocity is 20 m / s, g=9.81 m/s^2 and the distance in x is 40m. The ball leaves the hand of the pitcher with an elevation equal to 1.8m and the catcher receives it at...
1. Homework Statement
A boy launches a 20 g dart horizontally by a spring gun from a balcony 45 m above the ground. The dart lands 15 m away from the balcony. If the length of the gun’s barrel is 10 cm, what is the average horizontal force applied by the spring?
(A) 1.0N (B) 2.0 N (C) 2.5 N...
Projectile motion involves velocity in vertical and horizontal direction.
It is important to understand that the two are independent of each other. Solving problems becomes much easier with this simple understanding.
Salutations, I have been trying to approach a case about projectile motion considering variation of gravity acceleration and air resistance:
A spherical baseball with mass "m" is hit with inclination angle $\theta$ and launching velocity $v_0$, then, the wind has a drag force equals to ##F=kv##...
1. Problem statement:
"An object is thrown horizontally with an initial speed of 10 m/s. How far will it drop in 4 seconds?"
2. Homework Equations
Δx = v0x.t
Δy = v0y.t + 1/2(-g)t2
3. The Attempt at a Solution
When I first read it, I thought that 'how far' means Δx, since when someone...
1. Homework Statement
if you wanted to build a spring launched cannon that will shoot you over a building that is 35 m high and 30 m wide, and the cannon is being shot at 60 degrees. If the cannon can be no more than 2 m long, what spring constant do you need in the spring to make this work...
1. Homework Statement
A projectile is shot at a hill, the base of which is 320 m away. The projectile is shot at 60° above the horizontal with an initial speed of 79 m/s. The hill can be approximated by a plane sloped at 19° to the horizontal. The equation of the straight line forming the hill...
I have been wondering, what is conceptual physics?
I remember taking a class in high school that was physics oriented, for example two trains leave a station at different speeds, and arrive at a central point, where do they overlap. Also there were trig functions on how to find the height of a...
1. Homework Statement
We had a lab on projectile motion and one of the questions was this:
Use your Vy versus t graph to determine the y-component of the acceleration of the puck. Should this be equal to the acceleration due to gravity (9.8 m/s)? Explain why it is or why it is not.
The...
1. Homework Statement
Two objects are kicked upward at different angles. Object A travels a greater horizontal distance than object B. Both reach the same maximum height. Which of the following statements about the objects are true? You may select more than one.
1.Object A is in the air for...
Problem :
A ball is let down a ramp on top of a table with initial velocity of 0 ms-1. When it reaches the end of the ramp, it is launched horizontally. Knowing that we don’t take air resistance or friction into account, and that the height of the ramp is h1, and that of the table is h2...
A ball is let down a ramp on top of a table with initial velocity of 0 ms-1. When it reaches the end of the ramp, it is launched horizontally. Knowing that we don’t take air resistance or friction into account, and that the height of the ramp is h1, and that of the table is h2 relative to ground...
1. Homework Statement
A m=77.39 kg person on a bike is riding at v0,b=11.83 m/s. Suddenly, he sees a child running across his path! He applies the brakes that provide a deceleration of a= -4.192 m/s2. His glasses were not attached properly to his face, so they fly away and land on the...
1. Homework Statement
launch angle of θ=41.86°. The distance to the wall is d=11.06 m, and it strikes the wall with speed that is a fraction f=0.925 of the initial speed, while it is still gaining height (i.e., it has not the highest point of the trajectory). What is the initial velocity...
1. Homework Statement
A catapult launches a rock with an initial velocity of 50m/s at 35 degrees above the horizontal. The rock must clear 3.5m at 10m away in order to make it over a castle wall to get to the enemy. Do the knights succeed? By how much do they clear the wall or miss clearing the...
1. Homework Statement
A stone is thrown off of a bridge that is 40m above the water. The stone lands 48m from the base of the bridge. The stone was thrown with an initial velocity of 15m at 30 degrees above the horizontal.
What is the maximum height the stone reaches above the water...
1. Homework Statement
A ball is kicked with an initial speed of 20m/s at an angle of 50° above the horizontal. What maximum height does the ball reach?
2. Homework Equations
Vfx=VicosΘ
Δx=VicosΘt
Vfy=(VisinΘ)+ay⋅t
(Vfy)^2=(VisinΘ)^2+2ay⋅Δy
Δy=1/2(Vfy+(VisinΘ))⋅t
3. The Attempt at a...
1. Homework Statement
A train is moving counter-clockwise with a constant speed of 10 m/s in a circle of radius ##\frac {16} π## m. The plane of the circle lies in the x-y plane. At time t = 0, the train is at P, when a stone is thrown from it with a speed of 10 m/s relative to the train...