Please wait...
Contact Us
Need assistance? Contact us on below numbers

For Study plan details

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry



Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

93219 24448 / 99871 78554

Mon to Sat - 10 AM to 7 PM

A : The acceleration-time graph for an object moving along straight line, starting from rest is as shown in figure.

Speed of the particle is maximum at time t1.

R : Velocity is maximum when acceleration is maximum.

Asked by dipanshusingla029 23rd May 2018, 5:16 PM
Answered by Expert
We are given that acceleration is function of time. 
so we have begin mathsize 12px style fraction numerator d v over denominator d t end fraction equals space a left parenthesis t right parenthesis end style .....................(1)
where v is speed and a is acceleration
we can write velocity v as a functon of time from (1) as follows
begin mathsize 12px style v left parenthesis t right parenthesis space equals space integral subscript t superscript t plus d t end superscript a left parenthesis tau right parenthesis d tau end style
hence v(t) , i.e. velocity at time t is area under the given curve that represent the acceleration function for a small time period dt as shown in figure.
we can see that the area under the curve having small width dt is maximum at t = t1.
hence we can conclude speed is maximum at t = t1.
Answered by Expert 25th May 2018, 12:56 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer 1/10

Your answer has been posted successfully!

Chat with us on WhatsApp