Question

Part 2 of 2

With what speed does the stone strike the
water?
Answer in units of m/s.

Answer 1

Hi there!

We can begin by finding the final VERTICAL velocity of the ball.

Use the following kinematic equation: vf² = vi² + 2ad

The ball does not have any initial velocity in the vertical direction so:

vf² = 2ad

Plug in given values:

vf² = 2(9.81)(44) = 29.38 m/s

Find the TOTAL speed using the pythagorean theorem (involving both the horizontal velocity which remains the same and vertical velocity)

v = √(21²) + (29.38²) = 36.115 m/s