A car starts from rest and moves along the x-axis with constant acceleration of for . If it then continues with constant velocity, what distance will the car cover in since it started from the rest?
Step 1: Given
Step 2: Formula used
Step 3: Determine the distance covered in the first
Let be the distance travelled in the first
Using the second equation of motion,
Step 4: Determine the velocity at the end of 8 seconds when the car is accelerating
Using the first equation of motion,
Step 5: Determine the remaining distance
The distance traveled in first has been calculated.
The total time from the moment car starts from rest is
Distance traveled in the last will be
Step 6: Determine the total distance
Therefore, the car covers in total.