Embibe Experts Solutions for Chapter: Motion in a Plane, Exercise 1: Exercise

A car is moving on a straight road due north with a uniform speed of $50 \mathrm{km} {\mathrm{h}}^{-1}$ when it turns left through $90°$. If the speed remains unchanged after turning, the change in the velocity of the car in the turning process is

The sum and difference of two perpendicular vectors of equal lengths are,

Which of the following is not a vector quantity?

A vector is not changed if

A bird flies from $\left(-3\mathrm{m}, 4\mathrm{m},-3\mathrm{m}\right)$ to $\left(7 \mathrm{m},-2 \mathrm{m},-3 \mathrm{m}\right)$ in $XYZ$ co-ordinates. The bird's displacement in unit vectors is given by,

The magnitude of scalar product of two vectors is $8$ and of vector product is $8\sqrt{3}$. The angle between them is :-

A flag on a bus is fluttering in north direction and wind is blowing in east direction. Then which of the following will be true.

The $x$ and $y$ coordinates of a particle at any time t are given by $x=\mathrm{ }2t+4t^2$ and $y=\mathrm{ }5t$ , where x and y are in metre and t in second. The acceleration of the particle at $t=\mathrm{ }5\mathrm{ }\mathrm{s}$ is -