Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A bus begin to move with an acceleration of $1 m / s^{2}$ . A man who is $48 m$ behind the bus start runs at $10 m / s$ to catch the bus the man will be able to catch the bus after

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

8 s

5 s

6 s

7 s

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

A bus begin to move with an acceleration of

1 m / s^{2}

. A man who is

48 m

behind the bus start runs at

10 m / s

to catch the bus the man will be able to catch the bus after

8 s

.
Let the man will catch after

t

second, initial velocity of the bus

u = 0

and the acceleration of the bus is

a = 1 m / s^{2}

.
So in

t

seconds distance travelled by bus will be,

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

\Rightarrow s = 0 \times t + \frac{1}{2} \times 1 \times t^{2}

\Rightarrow s = \frac{1}{2} t^{2}

And the Man need to travel

48 + s

after

t

time at

10 m / s

speed then

48 + s = 10 t

\Rightarrow s = 10 t - 48

Then we get form the above equations,

10 t - 48 = \frac{1}{2} t^{2}

Solving the above quadratic equation we get,

t = 8, 12

. So the man can catch the bus after eight seconds.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!