You visited us 6 times! Enjoying our articles? Unlock Full Access!

Third Equation of Motion

Which of the ...

Question

Which of the following is/are equations of uniformly accelerated motion relating the initial velocity (u), final velocity (v), time (t), acceleration (a) and displacement (S).

v^{2} = u^{2} + 2 a S

No worries! We‘ve got your back. Try BYJU‘S free classes today!

v = u + a t

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

All the above

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C All the above
The equations of motion relate to the following five quantities:
u - initial velocity
v - final velocity
a - acceleration
t - time
s - displacement
Of the above u, v, a, and s are vector quantities. As such, remember to make vectors going in one direction positive and vectors in the opposite direction negative.
Time (t) is a scalar quantity.
If any three of the five quantities are known then the other two may be calculated using the following three equations:
$v = u + a t$
$s = u t + \frac{1}{2} a t^{2}$
$v^{2} {= u}^{2} + 2 a s$
The equations of motion can only be used for an object travelling in a straight line with a constant acceleration.

Suggest Corrections

Similar questions

A body is moving with an initial velocity of $u$ and having constant acceleration $a$ . The final velocity $v$ can be obtained by using which of the following equation of motion if a body covers a distance $s$ .

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.

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

Q. Check the accuracy of relation

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

, where

v

and

u

are final and initial velocities,

a

is the acceleration, and s is the distance.

Q. The third equation of motion

(v^{2} - u^{2} = 2 a s)

can be derived using first two equations of motion

(v = u + a t

and

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

Join BYJU'S Learning Program