A car starts from rest and accelerates at $5 \,\mathrm{~m} / \mathrm{s}^{2}$. At $t=4 \mathrm{~s}$, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at $\mathrm{t}=6\, \mathrm{~s}$ ?
(Take g $\left.=10\, \mathrm{~m} / \mathrm{s}^{2}\right)$
$20\, \mathrm{~m} / \mathrm{s}, 5 \,\mathrm{~m} / \mathrm{s}^{2}$
$20 \,\mathrm{~m} / \mathrm{s}, 0$
$20\, \sqrt{2} \mathrm{~m} / \mathrm{s}, 0$
$20 \,\sqrt{2} \mathrm{~m} / \mathrm{s}, 10\, \mathrm{~m} / \mathrm{s}^{2}$
A mosquito is moving with a velocity $\overrightarrow{ v }=0.5 t ^{2} \hat{ i }+3 t \hat{ j }+9 \hat{ k }\, m / s$ and accelerating in uniform conditions. What will be the direction of mosquito after $2 \,s$ ?
Three particles, located initially on the vertices of an equilateral triangle of side $L,$ start moving with a constant tangential acceleration towards each other in a cyclic manner, forming spiral loci that coverage at the centroid of the triangle. The length of one such spiral locus will be
A body of mass $1 \,\, kg$ is acted upon by a force $\vec F = 2\sin 3\pi t\,\hat i + 3\cos 3\pi t\,\hat j$ find its position at $t = 1 \,\, sec$ if at $t = 0$ it is at rest at origin.