Q27 · 2024 · Paper 1Complex familiar4 marks
QUESTION 27 (4 marks)
On another planet, an object was projected upwards from an initial height and took to land.
The relationship between vertical displacement and time is . Determine the horizontal displacement of the object when it lands.
WORKED SOLUTION
4 marksQCAA guide · typeset solution
ANSWER
See worked solution below.
Worked solution
2
1
2
s
ut
at
=
+
2
3.5
5.18
s
t
t
=
−
1
tan30
6.06 m s
right
3.5
x
u
−
=
=
2
Since
0 ms
x
a
−
=
, xu = constant
6.06 0.71
4.3026
4.3 m
x
x
s
u t
=
=
=
×
=
Range = 4.3 m
• recognises trigonometric relationship
between initial velocity and horizontal
component [1 mark]
• calculates the horizontal component of the
initial velocity to be 6.06 m s–1 [1 mark]
• recognises that horizontal acceleration is
zero [1 mark]
• determines the range (horizontal
displacement) to be 4.3 m [1 mark]
One QCAA sample method typeset for web; criterion wording is adapted from the official marking guide.
How many marks did you earn?
Compare your working with the guide above.