Rectilinear Motion - Example 2.2-1

 

Determine the appropriate equation that should be used to find the answer to the problems shown below and then solve the problem. Any unknown initial conditions may be assumed to be zero.

 

Given	Find	Equation(s)	Answer
Position s(t) s = t 3 - 2t + 5	Velocity v(t)	Select the appropriate equation. v = ds/dt a = dv/dt a ds = v dv
Velocity v(t) v = t - 4	Position s(t)	Select the appropriate equation. v = ds/dt a = dv/dt a ds = v dv
Acceleration a(t) a = cos(ωt)	Velocity v(t)	Select the appropriate equation. v = ds/dt a = dv/dt a ds = v dv
Position s(t) s = cos(θ(t))	Acceleration a(t)	Select the appropriate equations. v = ds/dt a = dv/dt a ds = v dv
Acceleration a(s) a = s2 + 1	Velocity v(s)	Select the appropriate equation. v = ds/dt a = dv/dt a ds = v dv
Velocity v(s) v = 1/(s+1)	Position s(t)	Select the appropriate equation. v = ds/dt a = dv/dt a ds = v dv