Car X is moving along a straight level road with an initial speed of and a constant…

PHYSICS · Single correct · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

Car X is moving along a straight level road with an initial speed of

20\,\text{m/s}

and a constant acceleration of

1\,\text{m/s}^2

. At the same instant, Car Y starts from a point

200\,\text{m}

behind X with an initial speed of

30\,\text{m/s}

and a constant acceleration of

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

in the same direction. After how many seconds will Y overtake X? (a)

8.7\,\text{s}

(b)

12.4\,\text{s}

(c)

10.0\,\text{s}

(d)

20.0\,\text{s}