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 ?
1. If A is taller than B, and B is taller than C, who is the shortest?
A) A
B) B
C) C
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.
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 the office up to 5.00 pm, and
returns home by an auto with a speed of 25 km h–1. Choose suitable scales and
plot the x-t graph of her motion.
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 Fig. 2.9. Choose the correct
entries in the brackets below ;
(a) (A/B) lives closer to the school than (B/A)
(b) (A/B) starts from the school earlier than (B/A)
(c) (A/B) walks faster than (B/A)
(d) A and B reach home at the (same/different) time
(e) (A/B) overtakes (B/A) on the road (once/twice).
In which of the following examples of motion, can the body be considered
approximately a point object:
(a) a railway carriage moving without jerks between two stations.
(b) a monkey sitting on top of a man cycling smoothly on a circular track.
(c) a spinning cricket ball that turns sharply on hitting the ground.
(d) a tumbling beaker that has slipped off the edge of a table.