A car moves along a straight line according to the x-t graph given alongside. The instantaneous velocity of the car at t=t1 is

Question

A car moves along a straight line according to the x-t graph given alongside. The instantaneous velocity of the car at t=t1 is (A) zero (B) positive (C) Data insufficient (D) Cannot be determined

Tardigrade Admin · Accepted Answer

The instantaneous velocity is the slope of the tangent to the x-t graph at that instant of time. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/0285e5ce0dae60af00a58bc9d2682c44-.png" /> At t=t1, the tangent is parallel to time axis as shown above and hence, its slope is zero. Thus, instantaneous velocity at t=t1 is zero.

Q. A car moves along a straight line according to the $x - t$ graph given alongside. The instantaneous velocity of the car at $t = t_{1}$ is

zero

positive

Data insufficient

Cannot be determined

The instantaneous velocity is the slope of the tangent to the $x - t$ graph at that instant of time.

At $t = t_{1}$ , the tangent is parallel to time axis as shown above and hence, its slope is zero. Thus, instantaneous velocity at $t = t_{1}$ is zero.

Q. A car moves along a straight line according to the x−t graph given alongside. The instantaneous velocity of the car at t=t1​ is