Assertion: The average and instantaneous velocities have same value in a uniform motion. Reason: In uniform motion, the velocity of an object increases uniformly.

Question

Assertion: The average and instantaneous velocities have same value in a uniform motion. Reason: In uniform motion, the velocity of an object increases uniformly. (A) If both assertion and reason are true and reason is the correct explanation of assertion (B) If both assertion and reason are true but reason is not the correct explanation of assertion (C) If assertion is true but reason is false (D) If both assertion and reason are false

Tardigrade Admin · Accepted Answer

An object is said to be in uniform motion if it undergoes equal displacement in equal intervals of time.

∴ v_{a v} = \frac{s _{1} + s _{2} + s _{3} + \dots}{t _{1} + t _{2} + t _{3} + \dots} = \frac{s + s + s + \dots}{t + t + t + \dots} = \frac{n s}{n t}

and

v_{in s} = \frac{s}{t}

Thus, in uniform motion average and instantaneous velocities have same value.

Q. Assertion : The average and instantaneous velocities have same value in a uniform motion. Reason : In uniform motion, the velocity of an object increases uniformly.

If both assertion and reason are true and reason is the correct explanation of assertion

If both assertion and reason are true but reason is not the correct explanation of assertion

If assertion is true but reason is false

If both assertion and reason are false

An object is said to be in uniform motion if it undergoes equal displacement in equal intervals of time. ∴vav​=t1​+t2​+t3​+…s1​+s2​+s3​+…​=t+t+t+…s+s+s+…​=ntns​ and vins​=ts​ Thus, in uniform motion average and instantaneous velocities have same value.

Q. Assertion : The average and instantaneous velocities have same value in a uniform motion.
Reason : In uniform motion, the velocity of an object increases uniformly.