A cart moves along a straight track with an initial velocity of at

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A cart moves along a straight track with an initial velocity of

3.0\,\text{m/s}

t = 0

. Its acceleration is piecewise constant:

+4.0\,\text{m/s}^2

from

t = 0

t = 2.0\,\text{s}

and

-2.0\,\text{m/s}^2

from

t = 2.0\,\text{s}

t = 5.0\,\text{s}

. Determine the cart’s velocity at

t = 5.0\,\text{s}

. Include the proper sign and units.