Question

A body starts from rest with uniform acceleration of 8 metre per second square. Calculate the time in which body attains the velocity of 160 metre per second. How much distance will be travelled by the body in this time

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Time=20\:sec}}}$

$\green{\tt{\therefore{Distance=1600\:m}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Acceleration(a) = 8 \: m/{s}^{2} \\ \\ \tt: \implies Final \: velocity(v) = 160 \: m/s \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Time \: taken(t) = ? \\ \\ \tt: \implies Distance(s) = ?$

• According to given question :

$\tt \circ \: Initial \: velocity = 0 \: m/s \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies v = u + at \\ \\ \tt: \implies 160 = 0 + 8 \times t \\ \\ \tt: \implies 160 = 8 \times t \\ \\ \tt: \implies t = \frac{160}{8} \\ \\ \green{\tt: \implies t = 20 \: sec} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies s = ut + \frac{1}{2} {at}^{2} \\ \\ \tt: \implies s = 0 \times 20 + \frac{1}{2} \times 8 \times {20}^{2} \\ \\ \tt: \implies s = 0 + 4 \times 400 \\ \\ \green{\tt: \implies s = 1600 \: m}$

Answer 2

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$\tt{\huge{\purple{ .................... }}}$

QUESTION -

A body starts from rest with uniform acceleration of 8 metre per second square.

Calculate the time in which body attains the velocity of 160 metre per second.

How much distance will be travelled by the body in this time ?

SOLUTION -

From the above Question, we can obtain the following information

...

A body starts from rest with uniform acceleration of 8 metre per second square.

The body attains the velocity of 160 metre per second.

So, the innitial Velocity of the body is 0 m / s as it starts from rest.

U = 0 m / s.

The body attains the velocity of 160 metre per second.

So,

V = 160 m / s.

Let the time taken to attain this velocity be t .

According to Newton ' s first law of motion -

A = { V - U } / t

=> 8 = 160 / t

=> t = 20 seconds........ [ A ]

Now,

According To Newton's second law of motion ,

S = ut + ( 1 / 2 ) a t ^ 2.

Let us substute the required values...

S = ( 1 /2 ) × 8 × 400

=> S = 4 × 400 = 1600 m..... [ A ]