Step by step explanation
Step 1
In this step we use the definition of acceleration to determine the expression to integrate. Note that the acceleration is the derivative of velocity with respect to time.
Step 2
Perform integration on the expression from step 1. This calculation is performed as shown below.
Step 3
In this step we use the condition that at , the velocity
to find the exact form of the velocity function. We substitute this point into the velocity function we found in step 2.
Step 4
We now use the function in step 3 to find out when the velocity is zero again.
The velocity is zero again when