Subject Experts Solutions for Chapter: Kinematics, Exercise 2: PRACTICE QUESTIONS (COMPETITION WING)

The distance-time graph of a body moving in a straight line is shown below. Draw the speed-time graph of the motion of the body.

Asish took a challenge to cover a distance of $1 \mathrm{km}$ in $1 \mathrm{minute}$ on his racing bicycle. If he covers half the distance in ${\left(\frac{3}{5}\right)}^{th}$ of a minute, with what speed should he ride the remaining journey on his bicycle?

 A body moves along a straight line. In every $\mathrm{t} \mathrm{s}$ the speed of the body decreases uniformly to half of the original speed. Draw the speed-time graph of the body.

A physics student observed a train of $100 \mathrm{m}$ long crossing a bridge of length$245 \mathrm{m}$. If the train is moving with a velocity of $54 \mathrm{km} {\mathrm{h}}^{-1}$, he determines the time taken by it to cross the bridge. Find his answer.

Speed of light in air and glass are $3 \times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$ and $2 \times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$, respectively. If a light ray travels $9 \times {10}^8 \mathrm{m}$ in air and $16\times {10}^8 \mathrm{m}$ in glass, then what is the total time taken by it?

A body starts moving from a point A along the boundaries of a square field as shown in the figure and reaches the point C after $30 \mathrm{s}$. If its speed is $1 \mathrm{m} {\mathrm{s}}^{-1}$, what is the shortest distance between A and C?

Ram and Raj travel along a straight line from X to Y with different uniform speeds. Ram started from X and reaches the place Y in $t s$. If Raj travels half of the total distance between X and Y in $2t \mathrm{s}$, determine the ratio of speeds of Ram and Raj.

A car moving along a straight road with a speed of $72 \mathrm{km} {\mathrm{h}}^{-1}$, is brought to rest within $3 \mathrm{s}$ after the application of brakes. Calculate the deceleration produced by the brakes.