Question:
A particle moves along a straight line starts at time
seconds with a velocity
. At any subsequent time
seconds the acceleration of the particle is
. Find:
(a) The distance moves before first coming to instantaneous rest,
(b) the total time
seconds taken by the particle to return to the starting point,
(c) the greatest speed of the particle for
.
My Answers (Without Method):
(a)
(b)
My Problem in this question:
I don't understand part (c). Here is my method:
Greatest speed when
. (At turning point?)
?!!!
How would part (c) be done? The correct answer is . Thanks in advance.