0

Guest

Courses New

When acceleration be a function of velocity as a= f(v).. Then :- a) The displacement (x) = integral vdv/f(v) b) the acceleration may be constant c) the slope of acceleration versus velocity graph may may be constant. d) a) & c) are correct Please give solution

When acceleration be a function of velocity as a= f(v).. Then :-
a) The displacement (x) = integral vdv/f(v)
b) the acceleration may be constant
c) the slope of acceleration versus velocity graph may may be constant.
d) a) & c) are correct

Please give solution

Grade:12

1 Answers

Nirmal Singh.
askIITians Faculty 44 Points
10 years ago
a = f(x)

dv / dt = f(x)

(dx / dt)*(dv/ dx) = f(x)
v dv / dx = f(x)
so dx = vdv / f(x)

hence x = integral of (vdv) / f (x)

Hence Answer a is correct and

acceleration is directly proportionlal to velocity so acce. will not be constant

a = f(x)

so a / f(x) = 1

hencethe slope of acceleration versus velocity graph may may be constant

Hence Answer a and c is correct

Regards,
Nirmal Singh
Askiitians Faculty



Think You Can Provide A Better Answer ?

Other Related Questions on Mechanics

View all Questions ยป

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More