Choose which of the following is the Velocity Time Relationship equation.

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$s = u t + \frac{1}{2} a t^{2}$

$u = v + a t$

$2 a s = v^{2} - u^{2}$

$v = u + a t$

answer is D.

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Detailed Solution

The relationship between "velocity and time" is given by the first equation of motion.

The first equation of motion is $v = u + a t$

Here, v is the final velocity, u is the initial velocity, a is the acceleration and t is the time.

The velocity-time relation gives the first equation of motion and can be used to find acceleration.

The position-time relation gives the second equation of motion, i.e. $s = u t + \frac{1}{2} a t^{2}$

The position-velocity relation gives the third equation of motion, i.e. $2 a s = v^{2} - u^{2}$

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