A particle moves along the -axis with position (SI units)

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A particle moves along the

x

-axis with position

x(t)=10 t-t^{2}

(SI units). Compute the total distance travelled during

0 \leq t \leq 7 \mathrm{~s}