Question

In U.C.M., when time interval δt → 0, the angle between change in velocity (δv) and linear velocity (v) will be ______.

Options

• 0°

• 90°

• 180°

• 45°

Answer 1

In U.C.M., when time interval δt → 0, the angle between change in velocity (δv) and linear velocity (v) will be 90°.

Explanation:

The direction of change in velocity (δv) is given by

`phi = (180^circ - theta)/2 = 90^circ - theta/2`      ...(i)

This can be shown graphically as

For small time interval, i.e., δt → 0, then angle between v₁ and v₂ is very small i.e., θ = 0°.

So, from Eq. (i), we get

Φ = 90°