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Linear motion
Exercise 8.2 which she applied the brakes and
stopped after 5 seconds.
1. A body is thrown upward with a velocity
of 20 m/s. It returns to the ground at (a) Draw a graph of speed
the same position after 8 s. against time.
(a) Sketch a graph of velocity against (b) From the graph in (a) above
time for the motion. calculate:
(b) From the graph, determine the (i) the total distance
distance travelled and travelled.
(c) The total displacement. (ii) the time taken for the
2. Observe Figure 8.21 which shows a whole journey.
graph for a motorcycle travelling along (iii) the maximum speed
a straight road, then answer the questions attained.
that follow: (iv) the area under the graph.
4. What is meant by uniform speed,
100 uniform velocity and uniform
D acceleration?
80 E
Equations of linear motion
C Equations of linear motion play a
Distance (m) 60 crucial role in understanding and
predicting the behaviour of objects
equations and their applications, we
40 in motion. By comprehending these
gain insights into the fundamental
principles that govern the physical
20 world. Three equations describe the
uniformly accelerated linear motion:
B
the fi rst equation, the second equation
A and the third equation.
0 0 5 10 15 20 25 30 35
Time (s)
Derivation of the equations of
Figure 8.21
the uniformly accelerated linear
(a) When is the motorcycle: motion
(i) accelerating? (ii) decelerating? Derivations of the equations of linear
(b) Calculate its distance from A to D. motion can be done by employing
3. Amina drove her car from rest to a speed techniques like graphical methods
of 30 m/s in 10 seconds. She maintained and algebraic methods. These are the
this steady speed for 10 seconds, after common methods used in deriving the
equations of linear motion.
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