Question

Acceleration of a body is given by the equation
a = (4 - 3v) m/s2. Speed v is in m/s and t is in
second. If initial velocity is zero then terminal
velocity of the body is
(1)4/3
(2)3/4
(3) 4 m/s
(4) Infinite​

Answer 1

Answer:

4/3

Explanation:

we know that

a =dv/dt

dv=(4-3v)dt

dv/(4-3v)=dt

by integration...

[-1/3log(4-3v)] 0 to v = t

1/3log(4/4-3v) = t

for terminal point t = infinite

4/4-3v = infinite

4-3v = 0

v(terminal) = 4/3