A point moves rectilinearly with a deceleration whose modulus depends on the velocity v of the particle as
a=(alpha) X (square root of velocity v),
where alpha is a positive constant. At time t=0, the particle has initial velocity v1.
Then, what are the following:
i. Time taken by the particle to come to rest
ii. The distance traveled before it stops
iii. The time at which the instantaneous velocity is (v1)/4
iv. Distance traveled at the time the velocity becomes (v1)/4.
The Attempt at a Solution
I tried to integrate the equation but ended up no where because of the v term in the given equation, which kept getting in my way...PLEASE HELP!
I want to learn how to solve such problems which involve such variables in their equations...