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- A person standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity vi as shown in Figure P3.56. (a) What must be its minimum initial speed if the ball is never to hit the rock after it is kicked? (b) With this initial speed, how far from the base of the rock does the ball hit the ground?A basketball center holds a basketball straight out, 2.0 m above the floor, andreleases it. It bounces off the floor and rises to a height of 1.5 m.a) What is the ball’s velocity just before it hits the floor?b) What is the ball’s velocity just after it leaves the floor?c) If the ball is in contact with the floor for 0.02 seconds, what are the magnitudeand direction of the ball’s average acceleration while in contact with the floor?A ball is fired from a cannon inclined at 360 above the horizontal. The speed with which it leaves the barrel is 200 m/s and the mouth of the cannon is 2 m above ground level. Assume level ground. a) what are the horizontal and vertical components of the initial velocity of the cannon ball ? b) Determine the velocity of the cannon ball at t = 6 seconds. c) How far down range does the ball land
- kate picks up a piece of cake and throws it horizontally from a height of 2.30 m at 3.45 m/s. a) How much time does the rock take to hit the ground? b) What is the vertical speed of the rock as it hits the ground? c) How far does the rock get horizontally? d) What is the rock’s total velocity (magnitude and direction) as it hits the ground?In a circus, a “human cannonball” is launched from a cannon and lands in a net. The cannon releases him at the same height as the net. His initial velocity is 18.3 m/s in a direction 40.0° above the horizontal. a) For how much time will he be in the air? b) How far does he travel horizontally? c) What is the velocity upon impact? The circus manager from the previous question wants to make the stunt more dramatic by firing the stuntman through a hoop 9.0 m high then land in a safety net at the same height as the cannon. The cannon’s angle is changed to 45.0° and the velocity is increased to 21.0 m/s. The manager needs to know where to place the hoop and safety net. a) How far from the cannon should the safety net be placed? b) What is the time required to reach the height of the hoop? c) How far from the cannon should the hoop be placed?A ping pong ball rolls at a speed of 0.60 m/s toward the edge of a table which is 0.80 m high. The ball rolls off the table. a) How long is the ball in the air? b) How far out from the point directly below the edge of the tabletop does the ball hit the floor?
- A ball is thrown horizontally from a cliff with a speed of 8.0 m/s.a) What is the speed of the ball in the y-direction (vy) 2.0 seconds later?b) What is the total speed of the ball (2.0 seconds after the being thrown)?c) The ball lands 3.0 s after being thrown. How high was the cliff?d) How far away from the edge of the cliff does the ball land?A boy 11.5 m above the ground in a tree house throws a ball for his dog, who is standing right below the reee house and starts running the instant the ball is thrown. The boy throws the ball horizontally at 8.50 m/a. A.) how fast must the dog run too catch the ball just as it reaches the ground? Express the answer in meters per second. (V= blank m/s) b.) how far from the tree will the dog catch the ball? (D= blank meters)A golfer hits a golfball off a cliff from 8.5 metres above flat ground. The golfball is hit with an initial velocity of 43m/s [33 degrees above the horizontal]. a) Calculate the time of flight of the golfball. b) Calculate the horizontal range of the golfball. c) Calculate the maximum height of the golfball above the ground. d) Calculate the velocity of the golfball at its maximum height.
- Several people stand on a bridge over a river. The bridge is not level, so the people are all different heights above the river. Each person throws a stone to the river. a) The first person is 26.8 m above the river and throws her stone with a speed of 16.6 m/s at an angle of 6 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). How long does it take her stone to hit the water, in seconds? b) The second person is 19.0 m above the river and throws his stone with a speed of 17.1 m/s at an angle of -21.4 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). What is the range of his stone, in meters? c)The third person is 9.1 m above the river and throws their stone with a speed of 6.5 m/s at an angle of 9.3 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). What is the speed of this stone (in m/s) just before it strikes the river?1. A golf ball is hit from 4.3 m above a golfing fairway with an initial velocity of 30.0 m/s at an angle of 35° above the horizontal. a) Determine the time of flight for the ball. b) Determine the range for the golf ball. c) Determine the velocity for the golf ball the instant before the ball impacts the ground.3. A student standing on a 25 m building wishes to hit a target which is 7 m tall and 40 m away. The student throws the ball horizontally. a) How long does it take the ball to strike the target? b) What is the initial velocity of the ball?