Browse Kinematics

133 questions at your level

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Constant acceleration (suvat)

54 questions

LessonNot started
SECTION B: MECHANICS

A cyclist travels along a straight horizontal road with constant acceleration. She passes point AA with speed 88 m s⁻¹ and, 100100 m further along the road, passes point BB with speed 1818 m s⁻¹.
(a) Find the acceleration of the cyclist. (3 marks)
(b) Find the time taken to travel from AA to BB. (2 marks)
(c) State one assumption of the model used in your calculations. (1 mark)
●●●●●Level 26 marksStart
A particle moves with constant acceleration. It has initial velocity 2 m s−12\ \text{m s}^{-1} and acceleration 3 m s−23\ \text{m s}^{-2}. Find its velocity after 44 s.
●●●●●Level 22 marksStart
A particle starts from rest and accelerates at 2 m s−22\ \text{m s}^{-2}. Find the distance travelled in 55 s.
●●●●●Level 22 marksStart
A delivery van is initially at rest at a set of traffic lights on a straight horizontal road.

The van then moves off along the road with a constant acceleration of 1.6 m s−21.6\ \text{m s}^{-2}

Find
(a) the speed of the van after 77 s,

(1 mark)
(b) the distance travelled by the van in the first 77 s.

(2 marks)
●●●●●Level 23 marksStart
A cyclist is initially at rest on a straight horizontal road.

The cyclist then accelerates along the road with a constant acceleration of 0.9 m s−20.9\ \text{m s}^{-2}

Find
(a) the speed of the cyclist after 1212 s,

(1 mark)
(b) the distance travelled by the cyclist in the first 1212 s.

(2 marks)
●●●●●Level 23 marksStart

Vertical motion under gravity

14 questions

LessonNot started
A ball is dropped from rest. Find its speed after 22 s. (g=9.8g = 9.8.)
●●●●●Level 22 marksStart
A stone is dropped from rest. Find the distance it falls in 33 s. (g=9.8g = 9.8.)
●●●●●Level 22 marksStart

Kinematics with calculus (a → v → s)

34 questions

LessonNot started
The displacement, rr metres, of a particle from a fixed point OO at time tt seconds is

r=7.2t−0.8t2r = 7.2t - 0.8t^2

for t≥0t \ge 0
(a) Find the value of rr when t=2t = 2

(1 mark)
(b) Determine the range of values of tt for which the displacement is positive.

(2 marks)
●●●●●Level 23 marksStart
A particle moves in a straight line with velocity v=(4t−t2) m s−1v = (4t - t^{2})\ \text{m s}^{-1} at time tt seconds.

Find the distance travelled between t=0t = 0 and t=3t = 3. (3 marks)
●●●●●Level 23 marksStart

Motion in two dimensions with vectors

48 questions

LessonNot started
A particle PP of mass 22 kg moves on a smooth horizontal surface with velocity (4i+3j) m s−1(4\mathbf{i} + 3\mathbf{j})\text{ m s}^{-1}, where i\mathbf{i} and j\mathbf{j} are horizontal perpendicular unit vectors. It receives an impulse of (−12i+4j)(-12\mathbf{i} + 4\mathbf{j}) N s.

Find the angle through which the direction of motion of PP is turned by the impulse.

(4 marks)
●●●●●Level 24 marksStart
Two particles, PP and QQ, are moving in separate straight lines across a smooth horizontal surface.

PP moves with constant velocity (4i−6j) m s−1(4\mathbf{i} - 6\mathbf{j})\ \text{m s}^{-1}

QQ moves from the point with position vector (−3i+5j)(-3\mathbf{i} + 5\mathbf{j}) metres to the point with position vector (7i−10j)(7\mathbf{i} - 10\mathbf{j}) metres.

Show that PP and QQ move along parallel lines.

(3 marks)
●●●●●Level 23 marksStart