Question

During a baseball game, a batter hits a popup to a fielder 84 m away. The acceleration of gravity is 9.8 m/s 2 . If the ball remains in the air for 5 s, how high does it rise? Answer in units of m.

Answer 1

The ball rises up to 30.625 m high.

What is gravity?

The force that pulls items toward the centre of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity.

Given parameters:

Horizontal range of the ball; R = 84 m.

Time of flight of the ball: T = 5 s.

Acceleration due to gravity; g = 9.8 m/s².

We have to find, maximum height obtained by the ball; H = ?

In projectile motion, time of flight is; T = 2usinθ/g

Where, u = initial velocity of the ball and θ = angle of projection.

So, 2usinθ/g = 5

⇒ usinθ = 5g/2 = (5×9.8)/2m/s = 24.5 m/s.

Then maximum height obtained by the ball;

H = u²sin²θ/2g

= 24.5²/(2×9.8) = 30.625 m.

Hence,  maximum height obtained by the ball is 30.625 m.

Learn more about gravity here:

brainly.com/question/13860566

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