Answered

Josefina hit a tennis ball into the air with an

initial upward velocity of 16 feet per second. The height

h in feet of the ball above the ground can be modeled by

h = -16t2 + 16t + 3, where t is the time in seconds after

Josefina hit the tennis ball. Find the time it takes the ball

to reach 7 feet above the ground.

Verified Answer :

deedee2965

7 = -16t2 + 16t + 3
7 = t2 + 3
7 -3 = t2 + 3 - 3
4 = t2
square root of 4 = square root of t2
2 = t
2 seconds

onyebuchinnaji

The time taken for the ball to reach 7 feet above the ground is 0.5 s.

Time of the ball's motion

The time taken for the ball to travel the given distance is calculated as follows;

h = -16t² + 16t + 3

Time to reach 7 ft

7  = -16t² + 16t + 3

0 = -16t² + 16t - 4

divide through by 4

0 = -4t² + 4t - 1

solve using formula method,

a = -4, b = 4, c = -1

t = 0.5 s

Thus, the time taken for the ball to reach 7 feet above the ground is 0.5 s.

Learn more about time of motion here: https://brainly.com/question/2364404

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