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17. A baseball player hits a foul ball straight up in the air from a height of 4 feet
off the ground with an initial velocity of 85 feet per second. Does the ball reach
a height of 110 feet? 120 feet? Explain your reasoning.

Respuesta :

The maximum height that the ball reaches is 120.89 ft and as such we can say that the ball reaches a height of both 110 ft and 120 ft.

What is the maximum height of the projectile?

We are told that;

The ball leaves the player's hand 4 feet above the ground. Thus;

s₀ = 4 ft

Initial velocity; v₀ = 85 ft/s

The general function that represents the height of the ball in this instance is;

h = -16t² + v₀t + s₀

Then plugging in the relevant values gives;

h = -16t² + 85t + 4

The x-coordinate of the vertex is from the formula; x = -b/2a

x = -85/(2 * -16)

x = 2.65625 seconds

Thus;

Maximum height = -16(2.65625)² + 85(2.65625) + 8 = 120.89 ft

Read more about Maximum height at; brainly.com/question/26102004

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