Question

A particle moves in a circle of radius $1.0cm$ at a speed given by $v=2t$, where $v$ is in $cm/s$ and $t$ in seconds. Find the tangential acceleration at $t=1s$.

• A. $1.0cm{s}^{-2}$
• B. $1.5cm{s}^{-2}$
• C. $2cm{s}^{-2}$
• D. $2.5cm{s}^{-2}$

Answer 1

The correct option is C $2cm{s}^{-2}$

Given,

Velocity of the particle, $v\left(t\right)=2t$

Tangential acceleration, $a_t=\frac{d\left[v\right(t\left)\right]}{dt}=\frac{d\left(2t\right)}{dt}=2cm/s^2$