Projectile motion Definition and 1000 Threads

Homework Statement Consider a cannon on a 50m high cliff. The cannon shoots a cannonball with an initial speed of 200m/s at an angle of 30°, causing the cannonball to land 41m away from the cannon. What is the magnitude of the velocity of the cannonball the instance just before it hits the...

Homework Statement A rocket is launched at an angle of 36.87º (sin=0.6 cos=0.8) with an acceleration of 30m/s² for 20s (fuel runs out). Find a) total time of flight b) horizontal range. Homework EquationsThe Attempt at a Solution for the first 20 seconds: v= 30 * 20 = 600m/s d=30 *...

An object fired at an angle of 30° above the horizontal takes 2.5 s to travel the last 12 m of its vertical distance and the last 10 m of its horizontal distance. With what speed was the object launched? (Note: This problem does not stipulate that the initial and final elevation of the object...

Homework Statement King Arthur's knights use a catapult to launch a rock from their vantage point on top of the castle wall, 12m above the moat. The rock is launched at a speed of 27m/s and an angle of 39∘ above the horizontal. How far from the castle wall does the launched rock hit the ground...

Homework Statement A cannon has to fire a ball through a window in the wall. The window is 10 meters at the Y axis, and 8 meters (away from the cannon) at the X axis. The window is just slightly bigger than the ball (let's suppose that the dimensions are negligible). Find the required launching...

Homework Statement The top of a 10-storey building (42 m) , someone throws a ball (A) down with a initial speed of 2.5 m / s. You are on the second floor (8 m window above the ground) and You throw a ball (B) upward with an initial speed of 22 m / s. a) If both balls are thrown together after...

Homework Statement So I am given the height of a basketball player (2.00m tall) and the height of a basketball net (3.05m tall) and the distance at which the player stands from the net (10.0m away). The player shoots the ball at an angle of 45.0 degrees. What must the initial velocity be to...

Homework Statement A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 23.5m/s A 1.0-kg stone is thrown from the basket with an initial velocity of 14.8m/s perpendicular to the path of the descending balloon, as measured relative to a person at rest in...

Homework Statement A ball is thrown upward at an angle of 30degrees to the horizontal and lands on the top edge of a building that is 20m away. The top edge is 5.0m above the throwing point. How fast was the ball thrown? Homework Equations x=v0t+(1/2)at2 vf2=V02+2ax vx=v0cosθ vy=v0sinθ The...

Homework Statement A projectile on level ground is launched with a certain speed vi and has a downrange distance of Δx. What is Its new downrange distance if it is launched with a speed of 4vi instead? Homework Equations Δx=vi*t (I think) The Attempt at a Solution Since it says speed in the...

Hi Everyone, I hope someone can help me, I am attempting this projectile problem, but I keep coming unstuck. Could anyone point my in the right direction? I have attempted to break down the initial velocity into its component forces etc, but as I do not know the initial velocity, final...

Homework Statement Below is screen shot of the problem. My friends book was ripped so some of the problem was cut off. Using the diagram I need to find d. The answer is supposed to be 7.42x10^4m. Below the problem is my attempt at the solution. Can someone tell me where I went wrong. As you can...

Homework Statement A ball launched from ground level lands 2.85s later on a level field 48 m away from the launch point. Find the magnitude of the initial velocity vector and the angle it is above the horizontal. (Ignore any effects due to air resistance.) Homework Equations...

Okay, so I am a team member of a college robotics team, and this year we have quite challenging theme of playing badminton with robots, so for this reason we decided to track the position of shuttlecock in air. Now our approach was to predict the final position where it will land on ground from...

Homework Statement A ball thrown horizontally at 12.4m/s from the roof of a building lands 20.2m from the base of the building. How tall is the building? Homework Equations I think I'm supposed to use these: horizontal motion: x=x0+vx0t vertical motion: y=y0=+vy0(t)-.5at^2 The Attempt at a...

Homework Statement A test rocket is launched, starting on the ground, from rest, by accelerating it along an incline with constant acceleration a. The incline has length L, and it rises at theta degrees above the horizontal. At the instant the rocket leaves the incline, its engines turn off and...

I was recently doing a few projectile motion equations and noticed that the formula used changes depending on whether or not a given initial position. Am I correct, or am I misinterpreting the situation and manipulation of the equation? Also, can someone provide a file or pdf for all the...

Homework Statement an object is thrown horizontally off a cliff with an initial speed of 7.5m/s. The object strikes the ground 3 sec later what is the horizontal velocity after 1.5 sec Homework EquationsThe Attempt at a Solution i don't know how to start this problem without an angle given

Homework Statement In the figure, a uniform, upward-pointing electric field E of magnitude 5.00E3 N/C has been set up between two horizontal plates by charging the lower plate positively and the upper plate negatively. The plates have length L = 4 cm (0.04 m) and separation d = 2.00 cm (0.02...

Homework Statement A projectile is launched at an initial speed of 30 m/s at an angle of 60° above the horizontal. Calculate the magnitude and direction of its velocity (a) 2s and (b) 5s after launch Homework Equations x=v*t in the x dimension x= x+vt+(1/2)at^2The Attempt at a Solution I...

Homework Statement An airplane with a speed of 70.6 m/s is climbing upward at an angle of 40.0 ° with respect to the horizontal. When the plane's altitude is 814 m, the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the point of...

Homework Statement A fly ball just clears a 10.0 meter fence on the way down at a 45 degree angle, and strikes the ground 8.0 meters beyond the fence. Calculate the speed of the ball when it left his bat (at ground level). since it lands at ground level dy=0 a=9.81m/s2 since it is the only...

Homework Statement Exam review question concerning 2 dimensional motion, the professor did not hand out an answer key and I am just looking for an answer check. A car launches at an angle of 30 degrees above the horizontal, off a cliff (50m), moving at an initial speed of 10m/s. Find the...

1. An arrow is shot upward at a 30 degree angle compared to horizontal in order to hit a target that is 100 meters away. What was the initials peed of the arrow if it hits the center of the target?2. This is the hardest question on my sheet, can someone please walk me through how to do it?3...

And how do you find the drag force?

Homework Statement A motorcyclist wants to jump 20 cars placed side-by-side, making the jump 30m long (coming back to the initial height). Assume that the ramp is placed at an angle of 30 degrees from the horizontal. a. Calculate the initial velocity required to make the jump. b. Assuming the...

A cup with a mass/weight at the bottom was filled with cotton and an egg was place inside for a physics project. As the cup was falling, it would always re position itself to fall with the bottom/heavier half first (the bottom contains the mass). Would it make sense to explain this case this...

Homework Statement A football is kicked from the ground toward a 3.2 meter tall goal post 30 meters away. The ball leaves the ground with a velocity of 18 meters/sec at an angle of 50 degrees from the ground. How high off of the ground is the ball when it reaches the goal post? Does the kicker...

A helicopter on a flood relief mission flying horizontally with a speed vo at an altitude H, has to drop a food packet for victims standing on the ground. At what 'distance from the victims should the food packet be dropped'?the victims are standing in the vertical plane of the helicopter. In...

To calculate the Viy velocity for my marshmallow, what am I supposed to use for delta y? Would it be 0 because my catapult is pulled all the way to ground before I let it go, or would it be the height at which the catapult specifically flings the marshmallow?

If a projectile is thrown at an angle of 60o and it's initial speed is 30m/s, find the maximum height, time used for the ball to reach the ground, the horizontal range the ball reached from starting point, and the final velocity. So can i use 30m/s as the initial velocity?

Homework Statement A ball is launched with initial speed ##2\sqrt{}gh## such that it just clears two walls of height 'h' separated by a distance 2h .What is the time taken by the ball between the two walls ? Ans: ##2\sqrt{\frac{h}{g}}## Homework EquationsThe Attempt at a Solution...

Homework Statement A soccer ball is kicked 27.43m away from the goal and 9.15m away from the defensive line with a initial velocity of 36 m/s, when the ball reaches the goal is 1.92m from the floor [/B] I'll leave a little diagram of the problem, thanks for your time. P.D: I apologize for my...

Homework Statement Assume uniform acceleration. The projectile is released at a height 1m above the ground traveling at angle 60 above the horizontal. It hits the ground 60m away from the launch position. Calculate acceleration of the particle in acceleration phase.[/B]Homework Equations...

Homework Statement A toy gun uses a spring with a force constant of ##\small{300 N/m}## to propel a ##\small{10.0\!-\!g}## steel ball. If the spring is compressed ##\small{7.00\ cm}## and friction is negligible: At what angles above the horizontal may a child aim to hit a target...

Hey, I need help with a lab I'm doing in class. The goal is to hit a target on the ground by shooting a bullet from a toy gun. Our distance from the target will be assigned to us by our teacher and I need to calculate the initial velocity of the gun and then hit the target by only changing the...

Homework Statement How to calculate initial height (h) in an oblique motion? Data: initial velocity (v0) = 10 m/s angle (α) = 45º g = 10 m/s2 Variables: x - position in the x-axis y - position in the y axis r - range...

Can we derive the equation of a projectile to be elliptical.

Homework Statement Determine the exit speed(initial velocity) of a marble exiting a launcher shot from a table. The height of the table, distance of the x component and the time can be measured. t=? Vi=? Vix=? Homework Equations d= vi * t + 0.5*g*t^2 Vi^2=Vix^2*Viy*2 The Attempt at a Solution I...

Dave Johnson, the bronze medallist at the 1992 Olympic decathalon in Barcelona, leaves the ground at the high jump with vertical velocity component 6 m/s. How far does his center of mass move up as he makes the jump?

Homework Statement A missle is fired vertically up from a ground with an initial velocity of 20m/s. The acceleration at any time is given by dv/dt = -10 + t/2 m/s^2. Find the height of the missile after two seconds Find the height after four seconds the direction the missile is traveling when t...

Homework Statement Show that for a projectile d^2 (v^2)/dt^2 = 2g^2 Homework EquationsThe Attempt at a Solution Since we are only dealing with the y component for this. 2nd derivative would be 2. But since gravity acts on it then d^2 (v^2)/dt^2 = 2g. I don't get how to get to 2g^2. Can someone...

Homework Statement Crash Test Craig drives his 800kg car up a 100m ramp that is at an angle of 35 degrees above the horizontal. The car exerts a forward force of 12000N and the force of friction between the ramp and the car is 20N. He is trying to jump over a series of spinning helicopter...

Homework Statement What angles should an arrow be launched if it leaves the bow @ speed of 60 m/s and is trying to hit a target that is 150 m away? Assume target is same height as bow. Suppose the arrow is fired at an angle of 30 degrees & misses the target & hits the ground 1.8 m below from...

Ok, I have used every calculator I can find, typed it in several different ways for the past three hours and at this point I am giving up and asking for help. 1. Homework Statement A rock is thrown from the edge of a 14 meter high cliff with a velocity of total magnitude of 7m/s. Find the...

Homework Statement A gun can fire an artillery shell with a speed v_0 in any direction. Show that a shell can strike any target within the surface given by: (gr)^2 = (v_0)^4 - (2gz)*(v_0)^2 where z is height and r is horizontal distance the target is from the gun. Homework Equations Some...

We have a solid cube with some mass that we fire as a projectile at some angle. The cube is launched in such a way that two of the faces are perpendicular to the initial velocity vector. Assuming there is air resistance, would the cube change its orientation while it flies, even if the mass is...

I am not good at typing out formulas and equations on the internet, so I took pictures of what I did instead. I hope that's not too informal. 1. Homework Statement A rock is tossed straight up with a velocity of 19 m/s. When it returns it fell into a 10 m deep hole. Q: What is the rock's...

Homework Statement Homework Equations 1/2mv^2, mgh, and basic kinematics equations The Attempt at a Solution I set the height = 0 at moment before the launch. To get the velocity, I used: energy before the ball starts accelerating (PE) = energy right before the ball leaves the ark (KE)...

Homework Statement A cannonball is fired from the top of a sheer cliff that towers over the valley fllor below. The angle of the initial velocity is 20 degrees above the horizontal. The cannonball remains in the air for 3.50 seconds before hitting its target on the valley floor, a distance of...