Toy cars X, Y

PHYSICS · Single correct · CBSE · Physics · Motion · Motion

Problem

Toy cars X, Y, and Z each move along the same straight track for a time interval of

5\,\text{s}

. Their velocity–time descriptions are as follows. • Car X: velocity is constant at

+4\,\text{m/s}

for the entire interval. • Car Y: velocity starts at

+8\,\text{m/s}

and decreases uniformly to

0\,\text{m/s}

t = 5\,\text{s}

. • Car Z: velocity starts at

0\,\text{m/s}

and increases uniformly to

+8\,\text{m/s}

t = 5\,\text{s}

. Ignoring any direction reversals, which ranking gives the magnitudes of the cars’ displacements during the

5\,\text{s}

interval, from greatest to least? (a)

Z > Y > X

(b)

Y > X > Z

(c)

X = Y = Z

(d)

X > Y = Z