A ball is projected with an initial upward velocity component of 25 m/s and a horizontal velocity component of 30 m/s. a) What are the position and velocity of the ball after 2 s and 4 s? b) How long a time is required to reach the highest point? c) How high is this point?
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- Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.20 m/s. (a) What is the velocity of the second runner relative to the first? (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? (c) What distance ahead will the winner be when she crosses the finish line?A ball is dropped from a height of 3 m and rebounds from the floor to a height of 2 m.a) What is the velocity of the ball just as it reaches the floor?b) What is the velocity just as it leaves the floor?c) If it is in contact with the floor for 0.02 s, what are the magnitude and direction of its average acceleration during the interval?A rock is thrown straight up from the edge of a cliff. The rock reaches the maximum height of 15 m above the edge and then falls down to the bottom of the cliff 35 m below the cliff. a.) what is the initial speed of the rock? b) what is the traveled distance of the rock? c) what is the displacement of the rock? d) what is the total time of travel?
- A car has an initial velocity is 10.0 m/s and it accelerates at 2.00 m/s? while it is going up a 200 m ramp. a) What is the final velocity at the top of the ramp? b) How much time does it take the car to get up the ramp?1. A tennis ball is thrownvertically up and reached a maximum height of 45.6 m relative to the ground. Ifthe boy who threw the ball is on top of 43 m building, a) what was the initial velocity of the ball?b) what is the total time of flight of the ball if it missed the top of thebuilding and continuously fell to the ground? c) what is the ball's final velocity before it reaches the ground?A stone is thrown vertically upward with a speed of 12 m/s from the edge of a cliff 75.0 m high. a) How much later does it reach the bottom of the cliff? b) What is its speed just before hitting? c) What total distance did it travel?
- A ball is thrown vertically upward from the top of a building with an initial velocity of 20 m/s at an initial height of 50 m above the ground. The ball just misses the roof on its way down. a) Determine the time needed for the ball to reach the ground.b) Determine the velocity and position of the ball at t=5 secAn object is thrown vertically upward. It has a speed of 40 ft/s when it has reached one-half its maximum height.a) How high does it rise?b) What is its velocity 2 sec. after it is thrown?c) How long will it rise to its highest point?You throw an object up with an initial velocity of voy=13 m/s from a height of y=25 m. Part a) How long, in seconds, does it take for the object to reach the ground? Part b) What is the object's final velocity, in meters per second, as it impacts the ground? Part c) Find the time, in seconds, if you instead threw the object down with the same velocity, voy?
- You have two stones in your hands, and you are standing on a bridge. You throw the first stone with a velocity of 8.00 m/s upward. One second later, you let drop the second stone. Both stones hit the water below the bridge at the same time. a)For how much time is the first stone in free fall? b)What is the distance from your hand to the water? c) What is the velocity (magnitude and direction) of the first stone when it hits the water?A firework is shot into the air with a velocity of 123 m/s. A) What is the maximum height the firework will reach? B) How long did it take the firework to reach its maximum height?A team at SQU fires a rocket beside the college of science from rest at an angle 30° and accelerates at 30 m/s² for 3.0 s. The engine shuts off at a height 202.5 m above the ground. a) Calculate the speed of the rocket after 3s. b) At what time after t =0 will the maximum height be reached? c) What maximum height will the rocket reach?