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Free CBSE - Class 11 Physics - Motion in a Straight Line worksheets

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1.
A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward, and so on. Each step is $1 m$ long and requires $1 s$. Plot the $x-t$ graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit $13 m$ away from the start.
2.
A jet airplane travelling at the speed of $500 km h^{-1}$ ejects its products of combustion at the speed of $1500 km h^{-1}$ relative to the jet plane. What is the speed of the latter with respect to an observer on the ground ?
3.
A car moving along a straight highway with speed of $126 km h^{-1}$ is brought to a stop within a distance of $200 m$. What is the retardation of the car (assumed uniform), and how long does it take for the car to stop ?
4.
Two trains $A$ and $B$ of length $400 m$ each are moving on two parallel tracks with a uniform speed of $72 km h^{-1}$ in the same direction, with $A$ ahead of $B$. The driver of $B$ decides to overtake $A$ and accelerates by $1 m s^{-2}$. If after $50 s$, the guard of $B$ just brushes past the driver of $A$, what was the original distance between them ?
5.
On a two-lane road, car A is travelling with a speed of $36 km h^{-1}$. Two cars $B$ and $C$ approach car $A$ in opposite directions with a speed of $54 km h^{-1}$ each. At a certain instant, when the distance $AB$ is equal to $AC$, both being $1 km$, $B$ decides to overtake $A$ before $C$ does. What minimum acceleration of car $B$ is required to avoid an accident ?
6.
Two towns $A$ and $B$ are connected by a regular bus service with a bus leaving in either direction every $T$ minutes. A man cycling with a speed of $20 km h^{-1}$ in the direction $A$ to $B$ notices that a bus goes past him every $18 min$ in the direction of his motion, and every $6 min$ in the opposite direction. What is the period $T$ of the bus service and with what speed (assumed constant) do the buses ply on the road?
7.
A player throws a ball upwards with an initial speed of $29.4 m s^{-1}$. (a) What is the direction of acceleration during the upward motion of the ball ?
8.
A player throws a ball upwards with an initial speed of $29.4 m s^{-1}$. (b) What are the velocity and acceleration of the ball at the highest point of its motion ?
9.
A player throws a ball upwards with an initial speed of $29.4 m s^{-1}$. (c) Choose the $x = 0 m$ and $t = 0 s$ to be the location and time of the ball at its highest point, vertically downward direction to be the positive direction of $x$-axis, and give the signs of position, velocity and acceleration of the ball during its upward, and downward motion.
10.

Figure 3.25 gives a speed-time graph of a particle in motion along a constant direction. Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude ? In which interval is the average speed greatest ? Choosing the positive direction as the constant direction of motion, give the signs of $v$ and $a$ in the three intervals. What are the accelerations at the points $A$, $B$, $C$ and $D$ ?

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