Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Velocity of car v is given by v = at − bt 2 , where a and b are positive constants & t is time elapsed. Find value of time for which velocity is maximum and also corresponding value of velocity?

Velocity of car v is given by v = at − bt2 , where a and b are positive constants & t is time elapsed. Find value of time for which velocity is maximum and also corresponding value of velocity?

Grade:12

1 Answers

Arun
25763 Points
2 years ago
Dear Himani
 
V = at - bt²
dV/dt = a - 2bt
Put dv/dt = 0
a -2bt = 0
t = a/2b
Now d²v/dt² is negative at t = a/2b
Hence
At t = a/2b , velocity will be maximum.
Vmax =  a * a/2b - b (a/2b)² = a²/2b  -  a²/4b = a²/4b

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free