Rectilinear Motion Problems And Solutions Mathalino -

At ( t = 0 ), ( s = 0 \Rightarrow C_2 = 0 ). Thus: [ \boxeds(t) = t^3 ]

[ \fracdvv = -0.5 , dt ] Integrate: [ \ln v = -0.5t + C ] At ( t=0, v=20 \Rightarrow \ln 20 = C ). [ \ln\left( \fracv20 \right) = -0.5t ] [ \boxedv(t) = 20e^-0.5t ] rectilinear motion problems and solutions mathalino

[ \int dv = \int 6t , dt ] [ v = 3t^2 + C_1 ] At ( t = 0 ), ( s = 0 \Rightarrow C_2 = 0 )

Use ( a = v \fracdvds = -0.5v ). Cancel ( v ) (assuming ( v \neq 0 )): At ( t = 0 )