The car has an initial speed $v_0=20\frac{m}{s}.$ It increases its speed along the circular track at $s=0,a_t=(0\mathrm{.}8s)\frac{m}{s^2},$ where $s$ is in meters. $($Figure $1)$

Part A

Determine the time needed for the car to travel $s=35m$

Express your answer to three significant figures and include the appropriate units.