EASY
11th Assam Board
IMPORTANT
Earn 100

In which of the following examples of motion, can the body be considered approximately a point object:

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Important Questions on Motion in a Straight Line

EASY
11th Assam Board
IMPORTANT

The position-time (x-t) graphs for two children A and B returning from their school O to their homes P and Q respectively are shown in the figure. Choose the correct entries in the brackets below:
(a) A lives closer to the school than B
(b) A starts from the school earlier than B
(c) A walks faster than B
(d) A and B reach home at the (same/different) time
(e) A overtakes B on the road (once/twice).


Question Image
EASY
11th Assam Board
IMPORTANT
A woman starts from her home at 9.00 am, walks with a speed of 5 km h-1 on a straight road up to her office 2.5 km away, stays at office till 5.00 pm, and returns home by an auto with a speed of 25 km h-1. Choose suitable scale and plot the x-t graph of her motion.
MEDIUM
11th Assam Board
IMPORTANT
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 soon. 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.
EASY
11th Assam Board
IMPORTANT
A jet aeroplane travelling at the speed of 500 km h1eject it products of combustion at the speed of 1500 km h1relative to the jet plane. What is the speed of the latter with respect to an observer on the ground?
EASY
11th Assam Board
IMPORTANT
A car moving along a straight highway with a speed of 126 km h-1is 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?
HARD
11th Assam Board
IMPORTANT
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/s2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?
MEDIUM
11th Assam Board
IMPORTANT
On a two-lane road, car A is travelling with a speed of 36 kmh-1. Two cars B and C approach car A from opposite directions with a speed of 54 kmh-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?
HARD
11th Assam Board
IMPORTANT
Two towns A and B are connected by regular bus service with a bus leaving in either direction every T minutes. A man cycling with a speed of 20 km h1 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?