Question

Write the equation of motion showing relation between:-
a) Velocity and time.
b) Displacement and time.
c) Displacement and velocity.
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plz give the correct answers​

Answer 1

a) The relation between velocity and time is a simple one during uniformly accelerated, straight-line motion. The longer the acceleration, the greater the change in velocity. Change in velocity is directly proportional to time when acceleration is constant. And the formula is

$v = u + at$

b) Velocity is directly proportional to time when acceleration is constant (v ∝ t). Displacement is proportional to time squared when acceleration is constant (∆s ∝ t2).

$t = - {v}^{o} + \sqrt{({v {}^{o} }^{2} } - 4( \frac{1}{2} a)( - ∆s))$

c) Displacement is proportional to velocity squared when acceleration is constant.

$∆s∝ {v}^{2}$