Answer:
Approximately 485 meters
Step-by-step explanation:
We can first construct a right triangle, using the 500 m length of hill as our hypotenuse. Using the fact that the cosine of an angle is the ratio of the adjacent side to the hypotenuse, we see that
where x is the horizontal distance covered. Solving for x, we find this horizontal distance to be
so our answer is approximately 485 m.
t = 1.33 sec
Solution:
Given data:
Velocity = 17.5 ft/s
Height = 5 ft
The height can be modeled by a quadratic equation
where h is the height and t is the time
a = –16, b = 17.5, c = 5
It looks like a quadratic equation. we can solve it by quadratic formula,
Time cannot be in negative. So neglect t = –0.235.
t = 1.33 sec
Hence Amy have to react 1.33 sec before the volleyball hits the ground.
Step-by-step explanation: