Question 46

Question

A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation below. How long will it take the rock to reach the river?

h = - 16 t^2 + 300

Answer 1

To find the time it takes for the rock to reach the river, we need to set h (height) equal to 0 and solve for t (time).

0 = -16t^2 + 320
16t^2 = 320
t^2 = 20
t = sqrt(20)
t ≈ 4.47

Therefore, it will take the rock approximately 4.47 seconds to reach the river.