Question

A child throws a penny off of the eiffel tower (h = 324 m) with a downward velocity of magnitude v0 = 14 m/s.

A. Calculate the time t, in seconds, that it takes for the nickel to fall.
B. Find the speed at which the nickel strikes the ground Vf, in meters per second, using the initial velocity, V0, and the drop distance, h.

Answer 1

The time it takes for the penny to fall is 8.16 seconds, and the speed at which it strikes the ground is 98.5 m/s.

Step-by-step explanation:

Part A:

To calculate the time it takes for the penny to fall, we can use the equation h = gt^2/2, where h is the height and g is the acceleration due to gravity. Rearranging the equation, we get t = √(2h/g). Plugging in the values, t = √(2 * 324 / 9.8) = 8.16 seconds.

Part B:

To find the speed at which the nickel strikes the ground, we can use the equation Vf = V0 + gt, where Vf is the final velocity, V0 is the initial velocity, g is the acceleration due to gravity, and t is the time. Plugging in the values, Vf = 14 + 9.8 * 8.16 = 98.5 m/s.