Answer to Question #122251 in Physics for Preston

Question

A pebble is fired from a sling shot from the top of a small hill. The path of the pebble can be modelled by the relation h = -5.25(t-4)^2 +96 where h is height in meters and t is time in seconds after the pebble is fired.
A. Find the vertex of the parabola
B. How long will it take the pebble to reach its maximum height
C. What is the maximum height
D. What is the height of the small hill.

Answer 1

a)

$$t=4\ s, h=96\ m$$

b)

$$t=4\ s$$

c)

$$h=96\ m$$

d)

$$h (0)= -5.25(0-4)^2 +96 =12\ m$$