Answer to Question #146993 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)=v₀*t+1/2*at²; a<0;

S- position;

V₀-initial speed; V₀=100 ft/sec;

t-time variable;

S(t)=100*t+1/2*at²;

position function is; X(t)=X₀+S(t);

X(t)=X₀+100*t+1/2*at²;