Motion Test

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Motion Test - 23

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Weekly Quiz Competition

Question 1
1 / -0

Slope of distance-time graph of a moving body is equal to

A
velocity of the body

B
speed of the body

C
acceleration of the body

D
none of these

Solution

Speed of a body$$=$$slope of the distance-time graph of the body
$$tan\theta=\frac{y}{x}=speed of a body$$
Here x,y are co-ordinates distance of distance- time graph.
Hence,option B is correct.
Question 2
1 / -0

A boy is running along the circumference of a stadium with constant speed. Which of the following is changing in this case?

A
Centripetal force acting on the boy

B
Distance covered per unit time

C
Direction in which the boy is running

D
Magnitude of acceleration

Solution

Answer is C.

As the boy is running along the circumference of a stadium with constant speed, the centripetal force remains the same as it is a circular path, the distance covered and the magnitude of acceleration is same as he runs with constant speed.
Therefore, the direction in which the boy is running changes direction as the path is a circular path.
Question 3
1 / -0

A stone is dropped in the river from a bridge. The stone takes 1 second to touch the water surface in the river. What is the height of the bridge from the water level?

A
9.8 m

B
19.6 m

C
4.9 m

D
1.96 m

Solution

When particle is dropped from bridge the initial velocity $$u$$ is zero.
Let the height of bridge from water level is $$h$$
Then the displacement traveled by particle is $$h$$.
Acceleration is $$g=9.8 \ m/s^2$$ downwards.
Then applying second equation of motion:
$$s=ut+\dfrac { 1 }{ 2 } a{ t }^{ 2 }$$ where $$a=g$$ and $$u=0$$
then, $$h=\dfrac { 1 }{ 2 } g{ (1) }^{ 2 }=\dfrac { 1 }{ 2 } \times 9.8=4.9m$$

Thus, option C is correct.
Question 4
1 / -0

The velocity of an object can be changed by

A
changing the speed

B
changing the direction of motion

C
changing both the speed and direction of motion

D
all (a), (b) and (c) are true

Solution

The velocity of an object can be changed by
A.changing the speed.
B.changing the direction of motion.
C.changing both the speed and direction of motion.
hence,the option D is correct.
Question 5
1 / -0

A body will have uniform acceleration if its

A
speed changes at uniform rate

B
velocity changes at uniform rate

C
speed changes at non-uniform rate

D
velocity remains constant

Solution

If the velocity of an object changes at a uniform rate, then the acceleration that causes the change in velocity is called uniform acceleration or constant acceleration.
For example, the force of gravity imparts an acceleration uniformly which is called acceleration due to gravity.
Hence,option B is correct.
Question 6
1 / -0

The body will speed up if ___________ .

A
Velocity and acceleration are in same direction

B
Velocity and acceleration are in opposite direction

C
Velocity and acceleration are in perpendicular direction

D
None of these

Solution

A body will speed up if both velocity and acceleration are in same direction. If they are in opposite directions it results in slowing down the motion. And if they are perpendicular then there will be no effect on magnitude of velocity.
Question 7
1 / -0

Which one of the following is most probably not a case of uniform circular motion?

A
Motion of a racing car on a circular track

B
Motion of the moon around the earth

C
Motion of a toy train on a circular track

D
Motion of seconds hand on the circular dial of a watch

Solution

Answer is A.

An object moving in uniform circular motion is moving in a circle with a uniform or constant speed. The velocity vector is constant in magnitude but changing in direction.
Hence, the motion of a racing car on a circular track changes it speed, that is, it increases or decreases speed during the drive not a case of uniform circular motion.
Question 8
1 / -0

Directions For Questions

A car is moving on a straight road with constant acceleration. The initial velocity of the car is 5 m/s and after 10 seconds its velocity becomes 25 m/s.

...view full instructions

(a) Find the acceleration of the car

A
$$\, 2\, m/s^2$$

B
$$4 m/s^2$$

C
$$6 m/s^2$$

D
$$8 m/s^2$$

Solution

Given:
Initial velocity $$u=5\ m/s$$
Final velocity $$v=25\ m/s$$
Time $$t=10\ s$$
From the equation of motion $$v=u+at$$ we get,
acceleration $$a=\dfrac{v-u}{t}=\dfrac{25-5}{10}=2\ m/s^2$$
Question 9
1 / -0

A scooter increases its speed from 36 km/h to 72 km/h in 10 s. What is its acceleration?

A
$${7.2 m/s^2}$$

B
$${1 m /s^2}$$

C
$${3.6 m/s^2}$$

D
$${10 m/s^2}$$

Solution

in the given question we have
u=36 km/hr =$$36 \times \frac{5}{18}m/s=10 m/s$$
v= 72 km/hr=$$ 72 \times \frac{5}{18}m/s=20 m/s$$
t=10 s
a=?
we know the formula
v= u +at
20 = 10+ a 10
20-10 =10 a
10 = 10 a
a = 1 $$m/s^{2}$$
Question 10
1 / -0

Velocity-time graph of a body with uniform velocity is a straight line

A
Parallel to x-axis

B
Parallel to y-axis

C
Inclined to x-axis

D
Inclined to y-axis

Solution

Velocity-time graph of an object moving with uniform velocity. The slope of a Velocity–time graph of an object moving in rectilinear motion with uniform velocity is straight line and parallel to x-axis when velocity is taken along y-axis and time is taken along x-axis.

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Motion Test - 23

Result

Motion Test - 23

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SHARING IS CARING

Question 1

velocity of the body

speed of the body

acceleration of the body

none of these

Solution

Question 2

Centripetal force acting on the boy

Distance covered per unit time

Direction in which the boy is running

Magnitude of acceleration

Solution

Question 3

9.8 m

19.6 m

4.9 m

1.96 m

Solution

Question 4

changing the speed

changing the direction of motion

changing both the speed and direction of motion

all (a), (b) and (c) are true

Solution

Question 5

speed changes at uniform rate

velocity changes at uniform rate

speed changes at non-uniform rate

velocity remains constant

Solution

Question 6

Velocity and acceleration are in same direction

Velocity and acceleration are in opposite direction

Velocity and acceleration are in perpendicular direction

None of these

Solution

Question 7

Motion of a racing car on a circular track

Motion of the moon around the earth

Motion of a toy train on a circular track

Motion of seconds hand on the circular dial of a watch

Solution

Question 8

$$\, 2\, m/s^2$$

$$4 m/s^2$$

$$6 m/s^2$$

$$8 m/s^2$$

Solution

Question 9

$${7.2 m/s^2}$$

$${1 m /s^2}$$

$${3.6 m/s^2}$$

$${10 m/s^2}$$

Solution

Question 10

Parallel to x-axis

Parallel to y-axis

Inclined to x-axis

Inclined to y-axis

Solution

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