A bus starting from rest moves with a uniform acceleration of for . Find (a) the speed acquired, and (b) the distance travelled.
Step 1: Given
As the bus starts from rest, so, the initial velocity
Acceleration
Time
Step 2: Using the first motion equation for determining the value of speed acquired
As per the first motion equation, we have,
Here is the final velocity and is the initial velocity and is acceleration and is the time taken.
So, the value of the speed acquired will be
Step 3: Applying the third motion equation for determining the value of distance
As per the third motion equation, we have,
So, the value of distance will be
Hence, the speed acquired is and the total distance traveled is .