Velocity in 2 dimensional Motion #!#Direction of velocity

Assertion: In projectile motion, the acceleration is constant in both magnitude and direction but the velocity changes in both magnitude and direction. Reason: When a force or accelration is acting in an oblique direction to the direction of velocity then both magnitude and direction of the velocity may be changed.

Figure gives the x-t plot of a particle is one dimensional motion. Give the signs of position, velocity and acceleration of the particle at t = 0.3s

If acceleration of particle changing with time is a = (4t-2) m//s^(2) during one dimensional motion find change in velocity between (t = 0 sec) to t = 2 sec.

The dimensional formula for areal velocity is

A body is executing circular motion in the vertical plane containing directions. If the direction of velocity (oversetrightarrow(v)) at the top most point is towards west, what is the direction of angular velocity (oversetrightarrow(omega))?

Is the direction of acceleration same as the direction of velocity ?

The dimensional formula of angular velocity is

The dimensional formula of angular velocity is

Dimensional formula of velocity of sound is