The acceleration of a particle moving along the -axis is given by the equation: a(t)…

MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The acceleration of a particle moving along the

x

-axis is given by the equation:

a(t) = \left(0.300 \frac{m}{s^3}\right) t + \left(2.40 \frac{m}{s^2}\right)

The particle is at position

x = +4.60m

and is moving in the

-x

direction at a speed of

12.0 \frac{m}{s}

at time

t = 0s

. (1) Find the time at which the particle (briefly) comes to rest. (2) Find the position where the particle (briefly) comes to rest.