Embibe Experts Solutions for Exercise 4: Assignment

A car moving with speed $v$ on a straight road can be stopped with in distance $d$ on applying brakes. If same car is moving with speed $3 \mathrm{v}$ and brakes provide half retardation, then car will stop after travelling distance

A ball dropped from the top of tower falls first half height of tower in $10 \mathrm{s}$. The total time spend by ball in air is [Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$]

A particle starts with initial speed $u$ and retardation a to come to rest in time $T.$ The time taken to cover first half of the total path travelled is

A stone dropped from the top of a tower is found to travel $\left(\frac{5}{9}\right)$ of the height of the tower during the last second of its fall. The time of fall is

The acceleration $\left(a\right)$-time $\left(t\right)$ ) graph for a particle moving along a straight starting from rest is shown in figure. Which of the following graph is the best representation of variation of its velocity $\left(v\right)$ with time $t ?$

Which of the following speed-time $(v-t)$ graphs is physically not possible?

The displacement $\left(x\right)$ - time $\left(t\right)$ graph of a particle is shown in figure. Which of the following is correct?

A particle moves along $x$-axis in such a way that its $x$-co-ordinate varies with time according to the equation $x=4-2t+t^2.$ The speed of the particle will vary with time as