A pebble falls of a cliff at a height of 256 ft. If the equation for the height as a function is h(t)=-16^2 + initial height whe
re t is time in seconds and h(t) is height in feet, how many seconds will it take for the pebble to hit the ground?
1 answer:
Answer:
After 4secs
Step-by-step explanation:
Given the function of the height expressed as;
h(t)=-16^2 + initial height
If initial height = 256, then;
h(t) = -16t^2 + 256t
The pebble will hot the ground at when h(t) = 0
Substitute
0 = -16t^2 + 256t
16t^2 = 256
t^2 = 256/16
t^2 = 16
t = 4
Hence the pebble will hit the ground after 4secs
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