Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is

17-26

  • A
    17-a26
  • B
    17-b26
  • C
    17-c26
  • D
    17-d26

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Stopping distance of vehicles : When brakes are applied to a moving vehicle, the distance it travels before stopping is called stopping distance. It is an important factor for road safety and depends on the initial velocity $(v_0)$ and the braking capacity, or deceleration, $-a$ that is caused by the braking. Derive an expression for stopping distance of a vehicle in terms of $v_0 $ and $a$.

An object, moving with a speed of $6.25\ m/s$, is decelerated at a rate given by:
$\frac{{dv}}{{dt}} = - 2.5\sqrt v $ where $v$ is the instantaneous speed. The time taken by the object, to come to rest, would be........$s$

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Relation between velocity and displacement is $v = x^2$. Find acceleration at $x = 3m$ :- ............. $\mathrm{m/s}^{2}$

Your friend driving his car overtakes your car on the highway. Which of the following statement must be true at the instant he is passing you? Assume the cars as point particles.

For a moving body at any instant of time