Previous Year Physics Question Papers (with solutions) of Kerala State Syllabus of Higher Secondary Examinations. Chapter Name: MOTION IN A STRAIGHT LINE
Previous Year Questions of March Examinations from 2010 to 2020
A ball is thrown horizontally from the top of a tower with a velocity of 40 ms-1 . Take g = 10 ms-2.
a) Find the horizontal and vertical displacement after 1,2,3,4,5 seconds, then the path of the motion of ball.
b) If the ball reaches the ground in 4 seconds, find the height of the tower.
a) Since the horizontal velocity remains same,
Horizontal distance = horizontal velocity x time
Then 40 m, 80 m , 120 m, 160 m and 200 m are the displecements after 1s , 2s, 3s , 4s and 5s respectively .
Since the vertical velocity increases from zero ( u=0), in the negative direction, we have to use the equation
y = - 1/2 g t2
Then we get -5m , -20m, -45m, -80m and - 125 m as the displecements after 1s , 2s, 3s , 4s and 5s respectively .
The path is as shown in the figure b)
y = ut + 1/2 g t2
        = 0 - 1/2 x 10 x 4 2 = - 80m
          That is height h = -y = 80 m
a) The figure shown the position – time graph of a body moving along a straight line. i) Draw the velocity-time graph of the body. ii) From the graph, find the displacement in 20 seconds. b) From the velocity-time graph of a body moving with uniform acceleration, deduce the
velocity-time relation and the velocity- displacement relation.
a) Slope of the position - time graph is the velocity, then
v = 2 m/s for 0 to 5 sec
v = 0 m/s for 5 to 15 sec
v = -2 m/s for 15 to 20 sec i) so draw a velocity time graph ii) Area under the drawn graph must be zero (take area as vector), so displacement = 0 b)
Refer text for the derivation
When brakes are applied on a moving vehicle, it stops after travelling a distance. This distance is called stopping distance. a) Write an expression for stopping distance in terms of initial velocity (u) and retardation (a). b) If the initial speed is doubled keeping the retardation same, by how much will the stopping distance change?
a)
02 = u2 - 2 a S
So write for S b)
Here we use workdone = change in KE
For the first case
F S1 = 1/2 m v2
For the secon case
F S2 = 1/2 m (2v)2
Solving we get S2 = 4 S1
Stopping distance becomes 4 times
Acceleration – time graph of a body starts from rest as shown a) What is the use of the acceleration-time graph? b) Draw the velocity – time graph using the above graph. c) Find the displacement in the given interval of time from 0 to 3 seconds.
a) it will give change in velocity, instatntaneous and average accelerations etc b)
Draw velocity time graph from acceleration time graph for 0 to 3 seconds
Change in velocity is from zero to 12 m/s and time intervel 3 sec
Then displacement = average velocity x time
              = ( 0 + 12)/2 x 3 = 18 m
Table given below shows the motion of a school bus starting from an origin and travels along a straight line.
In m
2
4
6
8
10
11
12
14
In s
0
10
20
30
40
50
60
80
a) Complete the following table
Time taken
Displacement
Velocity from 0
2s
10-0=10m
………………………….
10s
……………………..
5m/s
b) Is the motion of the bus uniform or non-uniform? Justify your answer. c) Draw the position – time graph of the above motion. d) A student in the school bus notices the speedometer of the bus. Which type of speed is shown by the speedometer?
Acceleration is defined as the rate of change of velocity. a) Is it possible for a body to have acceleration without velocity? Explain. b) Draw the velocity – time graph of a body moving with uniform acceleration ‘a’ and initial velocity Vo. c) Using the above graph, obtain the equation for displacement in time ‘t’.
A and B are two objects moving with velocities VA and VB . a) What is the velocity of A relative to B? b) Rain is falling vertically with a speed of 35 m/s. A woman rides a bicycle with a speed of 12 m/s in the east to west direction. What is the direction in which she should hold her umbrella? c)Â Â Â Assertion: the range of a projectile remains the same for the angle of projection 300 and 600 .
    Reason: the range does not depend on the angle of projection.
Choose the correct answer: A: Both assertion and reasons are correct. B: Both assertion and reason are wrong. C: Assertion is correct, but reasons are wrong. D: Assertion is wrong, but reason is correct.
Position – time graph of a body is given a)Estimate the velocity during the time interval t = 2s to t = 3s. b) Displacement of an object is proportional to t 3 . Show that its acceleration is increasing with time.
Velociy – Time graph of a body is found to be a straight line with positive slope a) What type of motion is this? b) Derive a relation connecting the displacement and time for this type of motion. c) The ratio of velocity to speed of an object is....................
     i. One
     ii. Greater than one
     iii. Less than one
     iv. Either less than one or equal to one.
An object released near the surface of the earth is said to be in free fall (neglect the air resistance) a) Choose the correct aitermative from the clues given at the end of the statement
   “Free fall is an example of ....... acceleraled motion (uniformly , nonuniformly)
b) The incomplete table shows the velocity (v) of a freely falling object in a tme interval of 1 s. (Take g = 10 m/s2)
Time (t s)
Velocity (v m/s)
0
0
1
....
2
....
3
30
4
40
5
50
Complete the table and draw the velocity- time graph c) Area under velocity time graph gives .....................
A body falling under the effect of gravity is said to be in free fall. a) Draw the velocity-time graph for a freely falling object b) Define uniform acceleration c) From the given figures, identify the figure which represents uniformly accelerated motion.
Four pairs of initial and final positions of a body along an x axis are given. Which pair gives a positive displacement of the body ?
(a) –10 m, +15 m
(b) –5 m, –12 m
(c) 2 m, –5 m
(d) 2 m, 1m
Velocity-time graph of a ball thrown vertically upwards with an initial velocity is shown in figure.
(a) What is the magnitude of initial velocity of the ball ?
(b) Calculate the distance travelled by the ball during 20 s, from the graph.
(c) Calculate the acceleration of the ball from the graph.
