00:01
In this problem, we have been given the position function, which is dependent on time t, according to the equation that we have here.
00:09
And we have to use this equation to determine when there is no movement.
00:16
So if there is no movement, in that case, the velocity will be zero because the particle will be set to be at rest.
00:23
So here we just differentiate this displacement function with respect to t to get the velocity we according to this equation.
00:31
So when we differentiate, we comes out to be d by dt of s.
00:35
And that's just we differentiate by applying the product rule and we get the result here as 7 minus t times 5 by 2 times t raised to 3 by 2 minus t raise to 5 by 2 and this should be 0 because that's the condition for not having any sort of movement.
00:57
And when we solve this equation, we get two values for t.
01:01
One is zero and the other is five seconds.
01:05
So at these two different points of time, there is no movement...