35:00
1 of 5
Paper 3 · Mechanics
7.4 Kinematics
Question 1 · 5 marks
Calculator allowed
Spec and skills
Paper scope: Paper 3 Mechanics
Spec M7.4
Original practice question
A particle moves along a straight line. At time
t
t
t
seconds its displacement from a fixed point
O
O
O
is
s
=
2
t
3
−
15
t
2
+
36
t
s = 2t^3 - 15t^2 + 36t
s
=
2
t
3
−
15
t
2
+
36
t
metres,
t
≥
0
t \ge 0
t
≥
0
.
(a)
Find an expression for the velocity of the particle.
2 marks
t
xⁿ
a/b
√
π
(
)