Advanced kinematic problem

[civeng999]

Homework Statement

The driver of a vehicle on a level road determined that she could increase her speed from rest to 50 mph in 35 sec and from rest to 65 mph in 95 sec. Assume that acceleration varies linearly with speed (with a non zero intercept). Determine the max acceleration in each case.

Homework Equations

a(v) = a₀ + Kv

The Attempt at a Solution

a(0) = a₀
a(v_max) = a_max

 

[Dick]

Ok, so a(v)=dv/dt. You forgot that equation. Can you solve dv/dt=a0+Kv?