Question

( a=frac{d v}{d t}=32-4 v )
( frac{d v}{(32-4 v)}=d t )
( frac{log _{1}(32-4)}{32-4 v}=e^{-4 t-4 c}=e^{-4(t+2)} )
( Delta theta quadleft(-infty, v=4, quad 32-16=16=e^{-4(c)}right. )
( ln 10=-4 c )
( Rightarrow quad u ln 2=-4 )
( begin{array}{rl}x & c=-ln 2 32-4 v & =frac{e^{-4 t} times 16}{32-16 e^{-4 t}} 4 v & =3-4 e^{-4 t} v & =4left(2-e^{-4 t}right)end{array} )

# The acceleration (a) of a particle moving rectilinearly is given by a = 32 - 4y where v is its instantaneous velocity. Also at t=0, x= 0 and v = 4 m/s. (All quantities are measured in SI units). Find v as a function of t: A 4(2-€ 4) B 8(1-25) D 4(2-2-81)

Solution