When an object moving in a certain direction with an acceleration in the perpendicular direction?

The object moving in a certain direction with an acceleration in the perpendicular direction is possible.

Circular motion is an example of such a case. When an object moves on a circular path, its direction is along the tangent of the circle, but the centripetal acceleration is along the radius of the circle. We know that a tangent always makes a right angle with the radius, so when an object is in a circular motion, the acceleration and velocity are in mutually perpendicular direction.

Answer :

(a) It is possible; an object thrown up into the air has a constant acceleration due to gravity acting on it. However, when it reaches its maximum height, its velocity is zero.

(b) it is impossible; acceleration implies an increase or decrease in speed, and uniform speed implies that the speed does not change over time

(c) It is possible; for an object accelerating in a circular trajectory, the acceleration is perpendicular to the direction followed by the object.

Last updated at May 12, 2020 by Teachoo

(a) an object with a constant acceleration but with zero velocity

Answer

When a body is at the highest point of its motion,

the velocity of the body becomes zero.

But it still accelerates with a constant acceleration,

which is equal to the acceleration due to gravity (g).

Thus, it is possible for a body to have zero

velocity and a constant acceleration.

(b) an object moving with an acceleration but with uniform speed.

Answer

In case of a uniform circular motion,

the direction of the motion is always

along the tangent.

Therefore, the speed is constant but

the velocity keeps changing as

the direction changes.

Acceleration is the rate of change of velocity. As the velocity is changing, an acceleration is produced.

Therefore, in uniform circular motion an object moves with an acceleration but with uniform speed.

(c) an object moving in a certain direction with an acceleration in the perpendicular direction.

Answer

Whenever a body is in a uniform circular motion, the direction of the body is always perpendicular to the acceleration of the body.

The acceleration of the body is along the radius, while the direction of the body is along the tangent. Radius is perpendicular to tangent.

Thus, acceleration is perpendicular to the direction.