The law of motion in a straight line , then acceleration is
Constant
Step 1: Given data:
The law of motion in a straight line .
where velocity and time.
Step 2: Formula used:
Know that the law of motion in a straight line,
……(1)
Velocity is the rate of change of displacement that is,
….(2)
Acceleration is defined as-
Now put the value of velocity from equation (2) to equation (1)-
On arranging,
…..(3)
Step 3: Integration of the function:
Now integrate the function (3)-
Now differentiate the function (3) to obtain acceleration-
Therefore the acceleration is constant.
Hence, option A is the correct answer.