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Standard XII

Physics

2nd Equation of Motion

Write three e...

Question

Write three equations of uniformly accelerated motion relating the initial velocity $(u)$ , initial velocity $(v)$ , time $(t)$ , acceleration $(a)$ and displacement $(S)$ .

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Solution

The three equations of uniformly accelerated motion relating the initial velocity $(u)$ , initial velocity $(v)$ , time $(t)$ , acceleration $(a)$ and displacement $(S)$ are as follows:
(i) $v = u + a t$
(ii) $S = u t + 1 / 2 a t^{2}$
(iii) $v^{2} = u^{2} + 2 A s$

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Similar questions

Write three equations of uniformly accelerated motion relating the initial velocity (u),final velocity (v), time(t), acceleration (a) and displacement (S).

Q. Check the correctness of the relation

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

where

u

is initial velocity,

a

the acceleration,

t

the time and

s

the displacement.

Solution:

Hint: 1 km/h = 5/18 m/s

Case 1:

Initial velocity, u= _________

Final velocity, v = __________

Time t = __________

Acceleration, a = v-ut

= ___________

Case 2:

Initial velocity, u= _________

Final velocity, v = __________

Time t = __________

Acceleration, a = v-ut

= ___________

Q. Prove v = u + at

where u = initial velocity, v = final velocity, a = acceleration and t = time period

Q. Assertion :Displacement-time graph is a parabola corresponding to straight line parallel to X-axis, on a velocity-time graph. Reason: If

v = u + a t

, then

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

, where

v

u

are final and initial velocities and

a

is acceleration,

t

is time and

s

is displacement traveled in time

t

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Write three equations of uniformly accelerated motion relating the initial velocity (u), initial velocity (v), time (t), acceleration (a) and displacement (S).

The three equations of uniformly accelerated motion relating the initial velocity (u), initial velocity (v), time (t), acceleration (a) and displacement (S) are as follows:(i) v=u+at(ii) S=ut+1/2at2(iii) v2=u2+2As

Write three equations of uniformly accelerated motion relating the initial velocity $(u)$ , initial velocity $(v)$ , time $(t)$ , acceleration $(a)$ and displacement $(S)$ .

The three equations of uniformly accelerated motion relating the initial velocity $(u)$ , initial velocity $(v)$ , time $(t)$ , acceleration $(a)$ and displacement $(S)$ are as follows:
(i) $v = u + a t$
(ii) $S = u t + 1 / 2 a t^{2}$
(iii) $v^{2} = u^{2} + 2 A s$