Question

SR1-2

Answer 1

The time it will take the pebble to reach the maximum height is 1.5secs

Given the quadratic equation that models the path of the pebble expressed as p(t) = –16t^2 + 48t + 110

We can calculate the time taken by the pebble to reach the maximum height.

At maximum height, the velocity of the pebble is zero i.e. p'(t) = 0

p'(t) = -32t + 48

0 = -32t + 48

32t = 48

t = 48/32

t = 1.5secs

Hence the time it will take the pebble to reach the maximum height is 1.5secs

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