First slide

The 3 equation for uniform acc

Question

Amongst the following equation of motion, which represents uniformly accelerated motion?

Moderate

A

$x = \sqrt{\frac{t + a}{b}}$
B

$x = \frac{t + a}{b}$
C

$t = \sqrt{\frac{x + a}{b}}$
D

$x = \sqrt{t + a}$

Solution

$t = \sqrt{\frac{x + a}{b}}$ or $(x + a) = b t^{2}$ or $x = - a + b t^{2}$
Comparing this equation with general equation of uniformly accelerated motion, $s = s_{i} + u t + \frac{1}{2} a t^{2}$
we see that $s_{i} = - a, u = 0$ and acceleration = 2b.

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