The equation s-ut-1-2at2 is true for uniform as well as non-uniform accelerations-

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Standard IX

Physics

Time and Speed

The equation ...

Question

The equation $s = u t + \frac{1}{2} a t^{2}$ is true for uniform as well as non-uniform accelerations.

True

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False

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Solution

The correct option is B False
Equation of motion:
There are three sets of equations to correlate distance, velocity, and the acceleration of an object for uniformly accelerated motion along a straight line.
$v = u + a t$
$s = u t + \frac{1}{2} a t^{2}$
$v^{2} = u^{2} + 2 a s$
where, v = final velocity, u = initial velocity, s = distance covered, a = acceleration, and t = time.
Thus, the given statement is false.

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The equation s=ut+12at2 is true for uniform as well as non-uniform accelerations.

The equation $s = u t + \frac{1}{2} a t^{2}$ is true for uniform as well as non-uniform accelerations.