Model Test Paper മാതൃകാ ചോദ്യപേപ്പർ
A full paper in the Kerala Class 9 Physics pattern for this chapter, covering the whole of “Equations of Motion” – distance and displacement, speed and velocity, acceleration, graphs, the equations of motion and road safety. Work on paper with a timer before you look at the solutions.
Standard IX · Physics
Chapter 2 · ചലനസമവാക്യങ്ങൾ · Equations of Motion
- The first 15 minutes are cool-off time: read every question and plan your answers; do not write.
- Answer all questions. Marks for each question are shown on the right.
- For numericals write Given → Formula → Substitution → Answer with unit.
- Take east, forward or upward as the positive direction unless the question says otherwise. Give the direction of every displacement and velocity.
SECTION AAnswer all · 8 × 1 = 8 marks
1.
The SI unit of acceleration is .
(1)2.
Which one of the following is a scalar quantity?
(1)(a) displacement(b) velocity(c) speed(d) acceleration
3.
72 km/h = m/s.
(1)4.
A car goes round a circular track at a constant speed. Its velocity is (uniform / non-uniform).
(1)5.
In a velocity–time graph, the area under the graph for a time interval gives the in that interval.
(1)6.
Find the relation and fill in: v = u + at : velocity–time relation :: v2 = u2 + 2as :
(1)7.
A road sign with a red triangular border, such as “School ahead”, is a sign.
(1)8.
An athlete runs exactly one full round of a circular track and stops at her starting point. Her displacement is
(1)(a) the circumference(b) the diameter(c) zero(d) twice the circumference
SECTION BAnswer all · 5 × 2 = 10 marks
9.
Write two differences between distance and displacement.
(2)10.
A KSRTC bus starts from rest and reaches a velocity of 54 km/h in 10 s. Find its acceleration.
(2)11.
Many accidents to pedestrians happen at night and in the monsoon. (a) Write two rules a pedestrian must follow while crossing a road. (b) Why should pedestrians wear light-coloured clothes at night?
(2)12.
The position–time graph of an autorickshaw moving along a straight road is shown. (a) What kind of velocity does it have? Give a reason. (b) Find its velocity.
(2)13.
A train 150 m long, moving at 54 km/h, crosses a platform 300 m long. How long does it take to cross the platform completely?
(2)SECTION CAnswer all · 4 × 3 = 12 marks
14.
Four electric posts P, Q, R and S stand 50 m apart, in this order, along a straight road running from west to east. A cyclist starts at P, rides to S, turns back and stops at Q. The whole trip takes 50 s. Find (a) the distance travelled and the displacement (b) the speed (c) the velocity of the cyclist.
(3)15.
The velocity–time graph of a car is shown. Find (a) the acceleration in the first 4 s (b) the displacement between 4 s and 10 s (c) the retardation between 10 s and 12 s.
(3)16.
A car moving with a velocity of 10 m/s accelerates uniformly at 2 m/s2 for 5 s. Find (a) its final velocity (b) the distance it covers in these 5 s. (c) Check your answers using v2 = u2 + 2as.
(3)17.
The velocities of a motorbike and a scooter, both starting from rest, were noted every 2 seconds:
(a) Find the acceleration of the motorbike in each 2 s interval. (b) Find the acceleration of the scooter in each 2 s interval. (c) Which vehicle has uniform acceleration? What will the shape of its velocity–time graph be?
(3)| Time (s) | 0 | 2 | 4 | 6 |
|---|---|---|---|---|
| Motorbike velocity (m/s) | 0 | 6 | 12 | 18 |
| Scooter velocity (m/s) | 0 | 4 | 10 | 12 |
SECTION DAnswer all · 2 × 5 = 10 marks
18.
A car is moving at 72 km/h. The driver sees a child on a zebra crossing 60 m ahead. His reaction time is 0.5 s (the car keeps its speed during this time); then the brakes give a uniform retardation of 5 m/s2. (a) Find the distance travelled during the reaction time. (b) Find the braking distance. (c) How long does the car take to stop after the brakes are applied? (d) Does the car stop before the zebra crossing? (e) If the car had been moving at 36 km/h, what would its total stopping distance be? What lesson does this give about speed near schools?
(5)19.
A ball is thrown vertically upwards with a velocity of 30 m/s and falls back to the thrower’s hand. Take the upward direction as positive and the acceleration as −10 m/s2. (a) How long does the ball take to reach its maximum height? (b) Find the maximum height. (c) Draw the velocity–time graph of the ball for 6 s. (d) Using the graph, find the displacement of the ball after 6 s and the total distance travelled. (e) Find the velocity of the ball after 4 s and say what the sign means.
(5)