Giancarlo is hitting a baseball for an experiment. He is using: h(t) =- 167 + 72t to model the height of the ball (in feet) as a function of time (in seconds). Evaluate and
interpret h(2).

Suppose an object is shot or thrown into the air and then falls. From physics, we know that if air resistance

is ignored, the height of the object after t seconds can be modeled by

S(t) = a0t

2 + v0t + h0

where a0 is the acceleration due to gravity, v0 is the initial velocity, and h0 is the initial height of the

object.

When height is given in feet and time in seconds, a0 = −16 ft/sec2

, the units for acceleration will be ft/sec,

and the units for height will be ft.

In this problem, a0 = −16, v0 = 48, and h0 = 4. The function that models the height of the ball as a

function of time is

S(t) = −16t

2 + 48t + 4.

Step-by-step explanation:

step-by-step explanation:

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