Question

15. A man standing on the roof of a building throws a ball across the road to d

parking lot. The function below shows the height of the ball in t seconds. How
long does it take the ball to hit the top of a car that is 5 ft high?
(Round to the tenth of a second)
-5t² +20t+17=h(t)

Answer 1

To determine how long it takes for the ball to hit the top of a car that is 5 ft high, we need to set the height function equal to 5 and solve for t and we get t= 0.6

Step-by-step explanation:

To determine how long it takes for the ball to hit the top of a car that is 5 ft high, we need to set the height function equal to 5 and solve for t.

-5t² + 20t + 17 = 5

-5t² + 20t + 12 = 0

By factoring, we can rewrite the equation as:

(-5t + 3)(t + 4) = 0

Setting each factor equal to zero, we get:

-5t + 3 = 0 --> t = 0.6

t + 4 = 0 --> t = -4 (not a valid solution since time can't be negative)

Therefore, it takes approximately 0.6 seconds for the ball to hit the top of the car.