Question

Select the correct answer. A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where is the height, in feet, after t seconds?

Answer 1

Answer:

ΔS = 1/2gt²

Step-by-step explanation:

Given

Initial height of the ball = 3 feet

Maximum height of the  ball = 403 feet

To get the function that best suits the situation after t seconds, we will use the equation of motion;

ΔS = ut + 1/2gt²

ΔS is the change in height

u is the initial velocity of the body = 0m/s

g is the acceleration due to gravity = 9.81m/s²

t is the time taken for the ball to reach its maximum height.

ΔS = 403-3

ΔS = 400ft

Substituting the given values into the formula;

ΔS = ut + 1/2gt²

400 = 0 + 1/2(9.81)t²

400 = 4.905t²

t² = 400/4.905

t² = 81.55

t = √81.55

t = 9.03secs

The situation that best model the situation is ΔS = ut + 1/2gt²

ΔS = 0 + 1/2gt²

ΔS = 1/2gt²