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## Homework Statement

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 travelled before it stops

iii. The time at which the instantaneous velocity is (v1)/4

iv. Distance travelled 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.....