Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
Q- A bus starts from rest with an acceleration of
1 m/sec2. A man who is 48 m behind the bus
starts with a uniform velocity of 10 m/sec, then
the minimum time after which the man will
catch the bus is -
ANS - 8 seconds
In BUS FRAME-
velocity of man = 10 m/s
s = 48 m
Acceleration of man with respect to bus = Acceleration of man - Acceleration of bus = 0 - (1) = -1 m/s
Applying second equation of motion,
s = ut + 1/2 at2
48 = 10t - 1/2*t2
solving we get, t = 12 sec or t = 8 sec
therefore the minimum time is 8 seconds.
Let S be the distance travelled by Bus when they meet.
Now,
S = S + 48
1/2 x 1 x t2 = 10 x t + 48.
Solve for t.
Approve if i helped.
Distance travelled by bus = Distance travelled by man - 48
so 1/2 X 1 Xt2 = 10t - 48
t2 - 20t + 96 = 0
t = 8sec, 12 sec
earlier time is 8 seconds
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Win Gift vouchers upto Rs 500/-
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !