Example 1
Fariza starts running along a straight lame for 30 seconds from a starting point. Her velocity, v , after t seconds is given by where . Find
(a) the time, in seconds, when her acceleration is zero,
(b) the distance travelled by Fariza, in metre.
Solution
(a) Given
Then,
When is acceleration is zero,
Hence, when , Fariza's acceleration is zero.
(b) When , and , then,
So, at time t, ,
When
Hence, Fariza ran a distance of in 30 seconds.