igureMaths
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75 questions at your level
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Level 2
Level 3
Level 4
Level 5
Horizontal projection
16 questions
Lesson
Not started
Mark as done
A ball rolls off a table of height
0.8
0.8
0.8
m horizontally. Find the time it takes to reach the floor, to 3 s.f. (
g
=
9.8
g = 9.8
g
=
9.8
.)
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Level 2
2 marks
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→
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A marble rolls horizontally off a shelf of height
2.5
2.5
2.5
m.
Find the time it takes to reach the floor. (3 marks)
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Level 2
3 marks
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Projection at an angle
44 questions
Lesson
Not started
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A ball-throwing machine stands on horizontal ground at a sports centre.
A small ball is projected from a point
O
O
O
on the ground with speed
26
m s
−
1
26\ \text{m s}^{-1}
26
m s
−
1
at an angle
α
\alpha
α
above the horizontal, where
tan
α
=
5
12
\tan\alpha = \frac{5}{12}
tan
α
=
12
5
In the model
the ball is modelled as a particle moving freely under gravity
the ball first hits the ground at the point
A
A
A
Using the model,
(a)
find the time taken for the ball to travel from
O
O
O
to
A
A
A
,
(2 marks)
(b)
find the distance
O
A
OA
O
A
.
(2 marks)
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Level 2
4 marks
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Mark as done
A ball is projected at
25
m s
−
1
25\ \text{m s}^{-1}
25
m s
−
1
at
40
∘
40^\circ
4
0
∘
above the horizontal. Find the initial horizontal and vertical components of velocity, to 3 s.f.
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Level 2
2 marks
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Mark as done
A ball is projected at
20
20
20
m s
−
1
^{-1}
−
1
at
30
∘
30^{\circ}
3
0
∘
above the horizontal.
Write down the horizontal and vertical components of the initial velocity, giving the horizontal component to 3 significant figures. (2 marks)
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●●●
Level 2
2 marks
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Mark as done
The ball is projected at
20
20
20
m s
−
1
^{-1}
−
1
at
30
∘
30^{\circ}
3
0
∘
above the horizontal.
Find the time taken to reach the highest point of the path. (3 marks)
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Level 2
3 marks
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→
Projectile motion formulae
41 questions
Lesson
Not started
Mark as done
A ball-throwing machine stands on horizontal ground at a sports centre.
A small ball is projected from a point
O
O
O
on the ground with speed
26
m s
−
1
26\ \text{m s}^{-1}
26
m s
−
1
at an angle
α
\alpha
α
above the horizontal, where
tan
α
=
5
12
\tan\alpha = \frac{5}{12}
tan
α
=
12
5
In the model
the ball is modelled as a particle moving freely under gravity
the ball first hits the ground at the point
A
A
A
Using the model,
(a)
find the time taken for the ball to travel from
O
O
O
to
A
A
A
,
(2 marks)
(b)
find the distance
O
A
OA
O
A
.
(2 marks)
●●
●●●
Level 2
4 marks
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→
Mark as done
A ball is projected at
14
14
14
m s
−
1
^{-1}
−
1
at
30
∘
30^{\circ}
3
0
∘
above the horizontal over level ground.
Use
T
=
2
u
sin
α
g
T = \dfrac{2u\sin\alpha}{g}
T
=
g
2
u
sin
α
to find the time of flight. (3 marks)
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●●●
Level 2
3 marks
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→
Mark as done
A ball is projected at
28
28
28
m s
−
1
^{-1}
−
1
at
45
∘
45^{\circ}
4
5
∘
over level ground.
Use
R
=
u
2
sin
2
α
g
R = \dfrac{u^{2}\sin 2\alpha}{g}
R
=
g
u
2
sin
2
α
to find the range. (3 marks)
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●●●
Level 2
3 marks
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