Lesson 5 Homework
1.
For a projectile motion at an angle
θ
relative to the level surface,
sketch the graphs of (i) y versus t, (ii) x versus t, (iii) v
x
versus t, and
(iv) v
y
versus t
(i)
The vertical motion of
the projectile is the same as
the motion of a vertically
projected object. Each second
y becomes smaller, it reaches
the maximum value and then
increases downward.
y
t
(ii)
Since the horizontal
velocity remains a constant,
the horizontal displacement x
is directly proportional to
time t.
x = v
x
t
What is the slope of this
graph?
x
t
(iii) v
x
remains a constant
with time. The graph is a
horizontal line.
v
x
t
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v
y
initially has a
maximum positive value, it
decreases to zero at the
highest point then increases
in the negative direction.
v
y
t
2.
The xcomponent of the velocity of an object moving in a straight line
with a sped of 10 ms
1
is 7.0 ms
1
. (i) What is the direction of motion
of the object? (ii) What is the ycomponent of its velocity?
(i)
v
x
= 7 ms
1
,
v = 10 ms
1
v
x
= v cos
θ
7 = 10 cos
θ
cos
θ
= 0.7,
θ
= 45.6
o
(ii)
v
y
= v sin
θ
= 10 sin 45.6
o
= 7.14 ms
1
3.
A bullet is projected with a velocity of 300 ms
1
at an angle 7.8
o
with
the horizontal. What is the velocity of the bullet at the highest point on
its trajectory?
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 Fall '10
 George
 Physics, Projectile Motion, Work, Velocity, 0.75 m, 5 km, 20 km/h, 7.2 m/s, 39.2 m

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