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Paper 3 · Mechanics
7.3 Kinematics
Question 1 · 5 marks
Calculator allowed
Spec and skills
Paper scope: Paper 3 Mechanics
Paper scope: Pure 1/2
Spec M7.3
Spec P10.1
Spec P10.4
Original practice question
A particle moves with constant acceleration
(
2
i
−
j
)
(2\mathbf{i} - \mathbf{j})
(
2
i
−
j
)
m
s
−
2
^{-2}
−
2
.
At
t
=
0
t = 0
t
=
0
it passes through the point with position vector
(
i
+
4
j
)
(\mathbf{i} + 4\mathbf{j})
(
i
+
4
j
)
m with velocity
(
−
3
i
+
5
j
)
(-3\mathbf{i} + 5\mathbf{j})
(
−
3
i
+
5
j
)
m
s
−
1
^{-1}
−
1
.
(a)
Find the velocity of the particle at
t
=
3
t = 3
t
=
3
.
2 marks
(
,
)
xⁿ
a/b
√
π
(
)