On what interval is the object's velocity positive? Negative?
An object is shot upwards and its height (in feet) from the ground after t seconds is given by #h(t)=-16t^2+128t+144#
On what interval is the object's velocity positive? Negative?
An object is shot upwards and its height (in feet) from the ground after t seconds is given by
On what interval is the object's velocity positive? Negative?
1 Answer
Nov 9, 2017
velocity is positive if
velocity is negative if
Explanation:
The height of the object is:
# h(t) = -16t^2+128t+144#
The velocity is given by the first derivative, so differentiating wrt
# h'(t) = -32t+128#
Let us consider the values of
# h'(t) = 0 => -32t+128 =0#
# :. 32t=128 #
# :. t = 4 #
And so:
- velocity is positive if
#t lt 4# - velocity is negative if
#t gt 4#
