Question

You toss a tennis ball straight upward. At the moment it leaves your hand it is at a height of 1.3 m above the ground, and it is moving at a speed of 7.4 m/s.
what is the maximum height above the ground that the tennis ball reaches?

Answer 1

Given info : you toss a tennis ball straight upward. at the moment, it leaves your hand it is at a height of 1.3 m above the ground, and it is moving at a speed of 7.4 m/s.

To find : the maximum height above the ground that the tennis ball reaches is ..

solution : initial velocity of tennis ball, u = 7.4 m/s

at maximum height, velocity of it becomes zero.

so final velocity of tennis ball, v = 0 m/s

now using formula, v² = u² + 2as

here, a = - 10 m/s² [ negative sign indicates that the acceleration due to gravity is acting downwards ]

∴ 0² = (7.4)² - 2 × 10 × s

⇒ s = 2.738 m

now the maximum height above the ground = 1.3 m + 2.738 m

= 4.038 m

therefore the maximum height above the ground that the tennis ball reaches.