Holiday Homework For Languages And Sciences - Ix Class, Apeejay School, Sheikh Sarai-I, 2015 Page 2

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the displacement, (d) average velocity.
19. A particle with a velocity of 2m/s at t=0 moves along a straight line with a constant acceleration of
0.2m/s2. Find the displacement of the particle in 10s?
20. A particle is pushed along a horizontal surface in such a way that it starts with a velocity of 12m/s. Its
velocity decreases at a uniform rate of 0.5m/s2. (a) Find the time it will take to come to rest. (b) Find the
distance covered by it before coming to rest.
21. A train accelerated from 20km/hr to 80km/hr in 4 minutes. How much distance does it cover in this
period? Assume that the tracks are straight?
22. A cyclist moving on a circular track of radius 50m completes one revolution in 4 minutes. What is his
(a) average speed (b) average velocity in one full revolution?
23. Define Scalar quantities and Vector quantities.
24. Define the term “uniform acceleration”. Give one example of a uniformly accelerated motion.
25. Define the term acceleration. Is it a vector quantity or a scalar quantity?
26. Cars moving along a straight line at a speed of 54km/hr stop in 5s after the brakes are applied. (a) Find
the acceleration, assuming it to be constant. (b) Plot the graph of speed versus time. (c) Using the graph.
Find the distance covered by the car after the brakes are applied.
27. A car moves 100m due east and then 25m due west. (a) What is the distance covered by the car? (b)
What is its displacement?
28. An athlete runs from one end to the other end of a semi circular track whose radius is 70m. What is the
distance covered by the athlete and what is his displacement? [ Ans: Distance= 220m, Displacement= 140m]
2
29. A body starts from rest and moves with a uniform acceleration of 5m/s
for 5s and then it moves with a
constant velocity for 4s. Later it slows down and comes to rest in 5s. Draw the velocity graph for the motion
of the body and answer the following questions:
a. What is the maximum velocity attended by the body?
b. What is the distance travelled during this period of acceleration?
c. What is distance travelled when the body was moving with constant velocity?
d. What is the retardation of the body while slowing down?
e. What is the distance travelled by retarding?
f. What is the total distance travelled?
Ans: (a) 25m/s, (b) 6.25m, (c) 100m, (d) 5m/s2 , (e) 62.5m,(f) 225m
30. An athlete moves 150m in 2minutes and next 50m in 20s on the same straight path. What is his average
speed and average velocity?
31. A swimmer swims 90m long pool. He covers the distance of 180m by swimming from one end to other
end and back along the same path. If he covers the first 90m at speed of 2m/s, then how fast he swim so that
his average speed is 3m/s?
32. A vehicle moves at a speed of 40 km/h. It is stopped by applying brakes which produces a uniform
acceleration of -0.6m/s2 . How much distance will the vehicle move before coming to stop?
33. Brakes applied to a car produces an acceleration of 5m/s2 in the opposite direction to the motion. If car
takes 1.5s to stop after applying the brakes, calculate the distance travelled by it.
34. A person walks along the sides of a square field Each side is 100m long. What is the maximum
magnitude of displacement of the person in any time interval?

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