Problem Index
Chapter 1
Kinematics and Statistics
1.1 Overtaking of a truck travelling at constant speed by a car starting from rest at
constant acceleration.
1.2 Greatest height attained by a stone projected up from an elevated point.
1.3 Meeting of two stones one projected up from the ground and the other dropped
from a height.
1.4 Distance travelled by a particle in 3 s when x = A sin π t.
1.5 A man of height 1.8 m moves away at 7 m/s from a lamp 6 m high. To find the
speed at which the tip of shadow moves.
1.6 The displacement x of a particle is described by 3t =
√
3x + 6. To find x
when v = 0.
1.7 A particle projected up passes the same height h in 2 and 10 s. To find h.
1.8 Overtaking of cars with constant acceleration and constant deceleration.
1.9 Choice of route in the field and on the road so that a boy may reach the destination in minimum time.
1.10 Location of water drops from the nozzle of a shower which fall at regular time
intervals.
1.11 Velocity–time graph for an object thrown upwards from the roof of a building.
1.12 A ball dropped into a lake from a diving board.
1.13 One stone is dropped from h = 44.1 m, another is thrown down 1 s later. To
find u of the second stone if both the stones strike the ground simultaneously.
1.14 A ball is seen to move up and down before a window 2 m high for t = 1 s
overall. To find the height above the window to which the ball rises.
1.15 In the last second of a free fall a body covered three-fourth of its total path. To
find t and h.
1.16 Relative velocity of wind.
1.17 Time for a bolt to hit the floor of an elevator which accelerates with constant a.
1.18 Deceleration of a car and truck to avoid a rear-end collision.
1.19 Relative velocity and distance of closest approach of two ships.
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Chapter 1
Kinematics and Statistics
1.1 Overtaking of a truck travelling at constant speed by a car starting from rest at
constant acceleration.
1.2 Greatest height attained by a stone projected up from an elevated point.
1.3 Meeting of two stones one projected up from the ground and the other dropped
from a height.
1.4 Distance travelled by a particle in 3 s when x = A sin π t.
1.5 A man of height 1.8 m moves away at 7 m/s from a lamp 6 m high. To find the
speed at which the tip of shadow moves.
1.6 The displacement x of a particle is described by 3t =
√
3x + 6. To find x
when v = 0.
1.7 A particle projected up passes the same height h in 2 and 10 s. To find h.
1.8 Overtaking of cars with constant acceleration and constant deceleration.
1.9 Choice of route in the field and on the road so that a boy may reach the destination in minimum time.
1.10 Location of water drops from the nozzle of a shower which fall at regular time
intervals.
1.11 Velocity–time graph for an object thrown upwards from the roof of a building.
1.12 A ball dropped into a lake from a diving board.
1.13 One stone is dropped from h = 44.1 m, another is thrown down 1 s later. To
find u of the second stone if both the stones strike the ground simultaneously.
1.14 A ball is seen to move up and down before a window 2 m high for t = 1 s
overall. To find the height above the window to which the ball rises.
1.15 In the last second of a free fall a body covered three-fourth of its total path. To
find t and h.
1.16 Relative velocity of wind.
1.17 Time for a bolt to hit the floor of an elevator which accelerates with constant a.
1.18 Deceleration of a car and truck to avoid a rear-end collision.
1.19 Relative velocity and distance of closest approach of two ships.
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