Embibe Experts Solutions for Chapter: Kinematics, Exercise 3: Exercise-3

A ball is dropped from a high rise platform at $t=0$ starting from rest. After $6$ seconds another ball is thrown downwards from the same platform with a speed $v.$ The two ball meet at $t=18 \mathrm{s}.$. What is the value of $v ?$ [take $g=10{ \mathrm{ms}}^{-2}$]

If we can throw a ball upto a maximum height $H,$ the maximum horizontal distance to which we can throw it is

The graph shows the variation of velocity of a rocket-with time. The time of burning of fuel from the graph is

A particle of mass $m$ is at rest at the origin at time $t=0$. It is subjected to a force, $F\left(t\right)=F_0{\mathrm{e}}^{-\mathrm{bt}}$ in the $x$ direction. Its speed $v\left(t\right)$ is depicted by which of the following curves?

A particle of mass $m$ is at rest at the origin at time $t=0.$ It is subjected to a force $F\left(t\right)=F_0{e}^{-bt}$ in the $x$ direction. Its speed $v\left(t\right)$ is depicted by which of the following curves?

Hint $:$ Acceleration $\mathrm{=}\frac{\text{ Force} }{\text{ Mass }}$

A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time?

All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.

A particle starts from origin at time $t=0$ and moves along the positive $x-$axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time $t=5 \mathrm{s}$?