Posted by **Akashdeep** on Thursday, July 8, 2010 at 7:23am.

This question is based upon differential calculus. Velocity of the particle is given by the equation:

v = (2t^2+5)cm/s. Find:-

(i) The change in velocity of the particle during the time interval t1 = 2s and t2 = 4s.

(ii) Average acceleration during the same interval.

(iii) Instantenous acceleartion at t = 4s.

Please SOLVE it!!!

- Grade 11th Physics -
**drwls**, Thursday, July 8, 2010 at 8:26am
(i) Use the formula you havebeen given to compute v at t = 4 and t = 2 s. Compute the change in v:

v(4) - v(2) = 37 - 13 = ____ cm/s

(ii) Divide the result of (i) by 2 s.

(iii) Compute the formula for derivative of v(t).

It is a(t) = dv/dt = 4t.

That is the instantaneous acceleration. Evaluate it at t = 4s.

Fill in the blanks. You could use the exercise.

- Grade 11th Physics -
**Akashdeep**, Thursday, July 8, 2010 at 8:36am
Sir I want the answers so i could match my answers with yours

- Grade 11th Physics -
**drwls**, Thursday, July 8, 2010 at 9:06am
Then show your answers

- Grade 11th Physics -
**Akashdeep**, Thursday, July 8, 2010 at 2:47pm
Sir i'll solve tommorrow and show you. I hope you get back to this question tommorow

- Grade 11th Physics -
**drwls**, Thursday, July 8, 2010 at 6:59pm
I have already shown you how to do the three problems. Each requires one step. I will be happy to verify that you have followed directions

- Grade 11th Physics -
**Akash**, Friday, July 9, 2010 at 5:19am
Sir my teacher solved it!!!

## Answer this Question

## Related Questions

Calculus - The displacement (in meters) of a particle moving in a straight line ...

calculus - 5. A particle moves along the y – axis with velocity given by v(t)=...

Calculus - The displacement (in meters) of a particle moving in a straight line ...

Maths mst - Question – 3: Consider a particle moving according to the velocity ...

CALCULUS - The displacement (in centimeters) of a particle moving back and forth...

Calculus - At time t >or= to 0, the position of a particle moving along the x...

help math - a partial moves along the x-axis so that its velocity at time t, for...

Calc - a partial moves along the x-axis so that its velocity at time t, for 0<...

differential equation or physics - A particle moves on the x-axis with an ...

Calculus - A particle moves along the x-axis with velocity v(t) = -(t-3)² + 5 ...