Problem 22P

IP

A swimmer runs horizontally off a diving board with a speed of 3.32 m/s and hits the water a horizontal distance of 1.78 in from the end of the board, (a) How high above the water was the diving board? (b) If the swimmer runs off the board with a reduced speed, does it take more, less, or the same time to reach the water?

Solution 22P

Step 1 of 2

Part a

We are required to calculate the height of the diving board from water.

Given:

Horizontal distance = 1.78 m

Horizontal speed = 3.32 m/s

Therefore, the time taken is

s

s

In this time the vertical height covered is

m

m

Therefore, the height of the diving board is 1.43 m.