Question

Two bodies are falling with negligible air resistance, side by side, above a horizontal plane. If one of the bodies is given an additional horizontal acceleration during its descent, it
a. strikes the plane at the same time as the other body
b. strikes the plane earlier than the other body
c. has the vertical component of its acceleration altered
d. has the vertical component of its velocity altered
e. follows a straight line path along the resultant acceleration vector

Answer 1

Answer:

option (a) is correct.

Explanation:

one body has only vertical acceleration while the other has vertical and horizontal both the accelerations.

The time of fall of both the bodies is same

h = 0.5gt²

as initial vertical velocity for both the bodies is zero and the height from which they fall is same, so the time of fall for both the bodies is same.

Option (A) is correct.

Answer 2

Answer:a

Explanation:

Given

two bodies are falling with negligible air Resistance and one of the body is given a slight horizontal acceleration

since there is no change in vertical acceleration therefore time taken by both bodies is same irrespective of change in horizontal direction

suppose both start from rest from a height of h

time taken

$t=\sqrt{\frac{2h}{g}}$

The only difference is that body with horizontal acceleration will be some distance away from first