Question

.A body is projected vertically upward from the ground. Taking vertical upward direction as positive and point of projection as origin, the sign of displacement of the body from the origin when it is at height h during upward and downward journey will be *

(a) Positive, positive

(b) Positive, negative

(c) Negative, negative

(d) Negative, positive

Answer 1

The sign of displacement of body during upward and downward journey will be positive, positive because displacement made by a body is not negative.

Hence option 1 is correct

Answer 2

Taking vertical upward direction as positive and point of projection as origin, the sign of displacement of the body from the origin when it is at height h during upward and downward journey will be (d) Negative, positive.

Displacement is the difference between the final position and the initial position of the object.

When the body is projected vertically upward, then the displacement can be deduced as below-

• When the body is projected upwards, then during the upward journey, the final position is height h while the initial position is at the ground.
• The direction, in this case, is downwards. Here, vertically upwards direction is positive, hence displacement is negative.
• When the body is projected upwards, then during the downward journey, the final position is at the ground while the initial position is height h.
• The direction, in this case, is upwards. Here, vertically upwards direction is positive, hence displacement is positive.