Question

Force acting on a particle varies with time \( t \) as \( F = kt \), where \( k \) is a constant. The velocity of the particle after a time \( t \) is

Hint:

Remember the hierarchy: Position $\xrightarrow{\text{differentiate}}$ Velocity $\xrightarrow{\text{differentiate}}$ Acceleration (Force/m).
Acceleration (Force/m) $\xrightarrow{\text{integrate}}$ Velocity $\xrightarrow{\text{integrate}}$ Position.

Answer 1