A body moves with a uniform acceleration $a$ . It takes $^{'} t^{'}$ sec to cover the distance $S$ .If the body was moving with the initial velocity with initial velocity $u$
a) Write an expression based on the above information.
b) If $u = 10 m / s$ , $a = 2 m / s e c^{2}$ , $t = 5 s e c$ , then find $S$ ?

Open in App

Solution

$a) s = u t + \frac{1}{2} a t^{2}$
$\begin{matrix} b) u = 10 m / s a = 2 m / s^{2} t = 5 sec \end{matrix}$
$\begin{matrix} s o, s = (10 \times 5 + \frac{1}{2} \times 2 \times 5^{2}) m = (50 + 25) m = 75 m \end{matrix}$

Suggest Corrections

Similar questions

Q. A body moves with uniform velocity of

u = 7 m / s

from

t = 0 t o t = 1.5 s

. It starts moving with an acceleration of

10 m / s^{2}

. The distance between

t = 0 t o t = 3 s

will be:

Q. A body was initially moving with

10 m / s e c

and it starts acceleration with

2 m / s e c^{2}

, the distance covered by it in

10 s e c

will be

Q. For a body moving with an initial velocity

u

and uniform acceleration

a

. Find the displacement of the body in time t.

Draw a velocity-time graph for a body moving with an initial velocity u and uniform acceleration a.Use this graph to find the distance travelled by the body in time t.

Q. A particle having initial velocity u moves with a constant acceleration a for a time

t .

Evaluate it for

u = 5 m / s, a = 2 m / s

and

t = 10 s .

Join BYJU'S Learning Program

A body moves with a uniform accelerationa. It takes ′t′sec to cover the distanceS.If the body was moving with the initial velocity with initial velocityua) Write an expression based on the above information.b) If u=10m/s, a=2m/sec2, t=5sec, then find S?

a)s=ut+12at2b)u=10m/sa=2m/s2t=5secso,s=(10×5+12×2×52)m=(50+25)m=75m

$a) s = u t + \frac{1}{2} a t^{2}$
$\begin{matrix} b) u = 10 m / s a = 2 m / s^{2} t = 5 sec \end{matrix}$
$\begin{matrix} s o, s = (10 \times 5 + \frac{1}{2} \times 2 \times 5^{2}) m = (50 + 25) m = 75 m \end{matrix}$