Striving Singularity, Exploring Excellence
TIME:1HOUR MM:25
TOPIC NAME: SIMPLE NUMERICALS ON MOTION
All
questions are compulsory
Marks
are indicated against questions
1.
Under what condition(s) is the
magnitude of average velocity of an object equal to its average speed?(1)
2.
During an experiment, a signal from a
spaceship reached the ground station in five minutes. What was the distance of
the spaceship from the ground station? The signal travels at the speed of
light, that is, 3 × 108 m s−1.(2)
3.
State which of the following situations
are possible and give an example for each of these(2)
(a) an object with a constant
acceleration but with zero velocity.
(b) an object moving in a certain
direction with an acceleration in the perpendicular direction.
4.
A bus decreases its speed from 80 km h−1
to 60 km h−1 in 5 s. Find the acceleration of the bus.(2)
5.
A stone is thrown in a vertically
upward direction with a velocity of 5 m s−1. If the acceleration of
the stone during its motion is 10 m s−2 in the downward direction,
what time will it take to reach there?(2)
6.
A farmer moves along the boundary of a
square field of side 10 m in 40 s. What will be the magnitude of displacement
of the farmer at the end of 2 minutes 20 seconds?(3)
7.
A train starting from a railway station
and moving with uniform acceleration attains a speed 40 km h−1 in 10
minutes. Find its acceleration. (3)
8.
A trolley, while going down an inclined
plane, has an acceleration of 2 cm s−2. What will be its velocity 3
s after the start?(3)
9.
An athlete completes one round of a
circular track of diameter 200 m in 40 s. What will be the distance covered and
the displacement at the end of 2 minutes 20 s?(3)
10. Joseph
jogs from one end A to the other end B of a straight 300 m road in 2 minutes 50
seconds and then turns around and jogs 100 m back to point C in another 1
minute. What are Joseph’s average speeds and velocities in jogging (a) from A
to B and (b) from A to C?(4)
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