When a ball was allowed to fall from rest from height h, a second ball was thrown up from the ground in the vertical direction. For two balls to meet at height h / 2, what should be the initial velocity of the second ball?

A missile silo is used to launch test rockets vertically upward out of the silo, giving the rocket an initial speed of 79.0 m/s at ground level. As the rocket clears the silo, the engines fire, and the rocket accelerates upward at 4.20 m/s2 until it reaches an altitude of 1,080 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2.(You will need to consider the motion while the engine is operating and the free-fall motion separately. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) (a) Determine the velocity of the rocket (in m/s) at the end of the engine burn time and also the burn time (in s). (For the velocity, indicate the direction with the sign of your answer.) velocity at end of engine burn timev= m/sengine burn timet= s (b) Determine the maximum altitude of the rocket (in m) and the total time (in s) for the rocket to reach this…

A stone is thrown with an initial speed of 20 m/s at an angle of 35° above the horizontal from the top of a 53 m building. What is the speed of the rock as it strikes the ground (ignore air resistance).

Suppose you are standing at the edge of a 200 meter tall cliff and are in the habit of dropping objects from great heights. So, you drop a rock off of the cliff. (a) What are the initial position s(0), velocity v(0), and acceleration a(0) of the rock?  b) Use your answers from part (a) to define functions s(t), v(t), and a(t) describing the position, velocity, and acceleration, respectively, after t seconds. (c) How long will it take for the rock to hit the ground? How fast is it falling when it hits?

An object is thrown vertically upwards with an initial velocity of +5 m/s and then comes back down. What is the final velocity when it returns to its initial height? Ignore air resistance.

Problem 2: An object is thrown off the top of a 38-m tall building with a velocity of 350 m/s at an angle of 8.2° with respect to the horizontal. Part (a) How long is the object in the air in seconds? Numeric : A numeric value is expected and not an expression. t = Part (b) What is the maximum height the object reaches above the ground in meters? Numeric : A numeric value is expected and not an expression. hmax = Part (c) What is the horizontal distance the object covers in meters? Numeric : A numeric value is expected and not an expression. Ax =.

Two students are on a balcony 19.5 m above the street. One student throws a ball vertically downward at 16.6 m/s; at the same instant the other student throws a ball vertically upward at the same speed. The second ball just misses the balcony on the way down.  (a) What is the difference in their time in air? (b) What is the velocity of each ball as it strikes the ground?  (c) How far apart are the balls 0.900 s after they are thrown?

A brick is thrown upward from the top of a building at an angle of 40° to the horizontal and with an initial speed of 17 m/s. If the brick is in flight for 2.5 s, how tall is the building?

A missile silo is used to launch military rockets vertically upward out of the silo, giving the rocket an initial speed of 79.6 m/s at ground level. As the rocket clears the silo, the engines fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1,080 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of -9.80 m/s². (You will need to consider the motion while the engine is operating and the free-fall motion separately. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the velocity of the rocket (in m/s) at the end of the engine burn time and also the burn time (in s). (For the velocity, indicate the direction with the sign of your answer.) velocity at end of engine V = 92.22 Check your kinematic equation relating vo, V1, ay, and AYo → 1 (where velocity of rocket as it clears the silo, v, = velocity of the rocket at…

Two children are playing on two trampolines. The first child bounces up one-and-a-half times higher than the second child. The initial speed up of the second child is 4.0 m/s(a) Find the maximum height the second child reaches. (b) What is the initial speed of the first child? (c) How long was the first child in the air?