Answer to Question #148137 in Calculus for Sean

Question

A car is travelling at 100 ft/sec when the driver suddenly applies the brakes. The position
function of the skidding car is

Answer 1

General formula of displacement during deceleration is;

S(t)=v_o*t+$\frac 1 2$ *a*t²; a<0;

S- position;

V_o-initial speed; V_o=100 ft/sec;

t-time variable;

S(t)=100*t+$\frac 1 2$ *a*t²;

position function is; X(t)=X_o+S(t);

X(t)=X_o+100*t+$\frac 1 2$ *a*t²;