Question

A basketball player grabbing a rebound jumps 78 cm vertically. How much total time (ascent and descent) does the player spend (a) in the top 14 cm of this jump and (b) in the bottom 14 cm?.

Answer 1

To calculate the total time spent in the top 14 cm and bottom 14 cm of the jump, we can use the equation for vertical motion. Set the initial and final positions, solve for t, and calculate the times for the specified heights.

Step-by-step explanation:

To calculate the total time spent in the top 14 cm and bottom 14 cm of the jump, we need to first find the total time spent in the entire jump. This can be done using the equation for vertical motion. Since the player jumps 78 cm vertically, we can use the equation y = y0 + v0yt - (1/2)gt^2, where y is the final position, y0 is the initial position, v0y is the initial vertical velocity, g is the acceleration due to gravity (9.8 m/s^2), and t is the time. By setting y0 as 0 and y as 78 cm, we can solve for t and find the total time spent.

(a) To calculate the time spent in the top 14 cm, we can set y0 as 0 and y as 14 cm in the equation and solve for t. This will give us the time spent in the top 14 cm of the jump.

(b) Similarly, to calculate the time spent in the bottom 14 cm, we can set y0 as 0 and y as 64 cm (78 cm - 14 cm) and solve for t to find the time spent in the bottom 14 cm.

Learn more about Vertical motion