A point moves in a straight …
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Gaurav Seth 6 years ago
acceleration = -av^2. (We are assuming that a is a constant and v represents velocity here)
Now, acceleration = dv/dt
Hence, dv/dt = -av^2
dv/v^2 = -adt
Integrating from t = 0, v = u to t = t and v =v
[1/u-1/v] = -at
1/v = 1/u+ at
1/v = (1+uat)/u
v = u/(1+uat)
Now v = dx/dt
dx/dt = u/(1+uat)
dx = u/(1+uat) dt
Integrating from x = 0, t = 0 to x = x, t = t
x = u/ua * ln|1+uat|
x = ln|1+uat|/a
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