KinematicsHard
Question
A 4 kg mass moves under the influence of a force $\overrightarrow{F} = \left( 4t^{3}\widehat{i} - 3t\widehat{j} \right)N$ where $t$ is the time in second.
If mass starts from origin at $t = 0$, the velocity and position after $t = 2\text{ }s$ will be :
Options
A.$\overrightarrow{v} = 3\widehat{i} + \frac{3}{2}\widehat{j}\overrightarrow{r} = \frac{6}{5}\widehat{i} + \widehat{j}$
B.$\overrightarrow{v} = 4\widehat{i} - \frac{3}{2}\widehat{j}\overrightarrow{r} = \frac{8}{5}\widehat{i} - \widehat{j}$
C.$\overrightarrow{v} = 4\widehat{i} + \frac{5}{2}\widehat{j}\overrightarrow{r} = \frac{8}{5}\widehat{i} + 2\widehat{j}$
D.$\overrightarrow{v} = 4\widehat{i} - \frac{3}{2}\widehat{j}\overrightarrow{r} = \frac{6}{5}\widehat{i} - \widehat{j}$
More Kinematics Questions
A stone is projected horizontally with speed v from a height h above ground. A horizontal wind is blowing in direction o...The velocity of a particle moving along x - axis is given as v = x2 - 5x + 4 (in m/s) where x denotes the x - coordinate...A car starting from rest accelerates at the rate f through a distance S, then continues at constant speed for time t and...The graph between the displacement x and time t for a particle moving in a straight line is shown in figure. Find the co...The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit tim...