Motion in a Straight Line Test

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Motion in a Straight Line Test - 5

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Question 1
1 / -0

Average speed is defined as the total path length travelled divided by the total time interval during which

A
minimum motion has taken place

B
the motion has taken place

C
maximum motion has taken place

D
uniform motion has taken place

Solution

Average speed is the ratio of distance traveled to time spent.
To find average speed, divide the total number of km traveled by the total elapsed time in hours. The answer is the average speed in km per hour.
Question 2
1 / -0

A body moving with some initial velocity and having uniform acceleration attains a final velocity 'V' m/s after travelling 'x' m. If its final velocity is V = , find the acceleration of the body.

A
– 8 m/s²

B
– 3.5 m/s²

C
– 7 m/s²

D
180 m/s²
Question 3
1 / -0

A car moving at a speed v is stopped after a certain distance when the brakes produce a deceleration a. If the speed of the car is nv, what must be the deceleration of the car to stop it in the same distance and in the same time?

A

B
na

C
n²a

D
n³a
Question 4
1 / -0

An automobile travelling with a speed of 60 km/hr can stop within a distance of 20 m. If a car travels twice as fast, i.e. 120 km/hr, then the automobile will stop within a distance of

A
20 m

B
40 m

C
60 m

D
80 m
Question 5
1 / -0

A metro train starts from rest and in 5 s, attains a speed of 108 km/hr. After that, it moves with a constant velocity and comes to rest after travelling 45 metres with uniform retardation. If the total distance travelled is 395 metres, find the total time of travelling.

A
12.2 s

B
15.3 s

C
9 s

D
17.2 s
Question 6
1 / -0

Displacement is a

A
scalar

B
Vector

C
Hector

D
tensor

Solution

Displacement vector is a vector which gives the position of a point with reference to a point other than the origin of the coordinate system.
Question 7
1 / -0

A bullet is fired into a fixed wooden block and it loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of

A
cm

B
cm

C
cm

D
cm
Question 8
1 / -0

For motion in 3 dimensions we need

A
No frame of reference is required a single point will do.

B
No frame of reference is required ; a set of 3 points will do.

C
frame of reference consisting of a clock and a Cartesian coordinate system having three mutually perpendicular axes, labeled X-, Y-, and Z- axes

D
frame of reference consisting of a clock and a Cartesian coordinate system having two mutually perpendicular axes, labeled X-, and Y- axes

Solution

Motion is a change in position of an object with time. In order to specify position, we need to use a reference point and a set of axes. It is convenient to choose a rectangular coordinate system consisting of three mutually perpenducular axes, labelled X-, Y-, and Z- axes.
The point of intersection of these three axes is called origin (O) and serves as the reference point. The coordinates (x, y. z) of an object describe the position of the object with respect to this coordinate system.
To measure time, we position a clock in this system. This coordinate system along with a clock constitutes a frame of reference.
Question 9
1 / -0

If a ball is thrown horizontally with a velocity of 8 m/s from the top of a building, the ball falls on the ground 12 m away from the building. What is the height of the building?

A
10 m

B
11 m

C
20 m

D
28 m
Question 10
1 / -0

A student is standing at a distance of 50 metres from a bus. As soon as the bus begins its motion with an acceleration of 1 ms^-2, the student starts running towards the bus with a uniform velocity 'u'. Assuming the motion to be along a straight road, calculate the minimum value of 'u' so that the student is able to catch the bus.

A
8 ms^-1

B
5 ms^-1

C
12 ms^-1

D
10 ms^-1
Question 11
1 / -0

The displacement of a particle is given by . What is its acceleration?
(Given: a₀, a₁and a₂ are all positive.)

A

B

C

D
a_o
Question 12
1 / -0

Three particles 'A', 'B' and 'C' are thrown from the top of a tower with the same speed. 'A' is thrown up, 'B' is thrown down and 'C' is thrown horizontally. If they hit the ground respectively with speeds 'V_A', 'V_B', and 'V_C', then

A
V_B > V_C > V_A

B
V_A = V_B > V_C

C
V_A = V_B = V_C

D
V_A > V_B = V_C
Question 13
1 / -0

A balloon is rising vertically upwards with a velocity of 29 ms^-1. A stone is dropped from it, which reaches the ground in 10 seconds. The height of the balloon when the stone was dropped from it is (g = 9.8 ms^-1)

A
400 m

B
150 m

C
100 m

D
200 m
Question 14
1 / -0

When an object moves an equal distance in equal intervals of time, its motion is said to be

A
uniform

B
non-uniform

C
scalar

D
retarded
Question 15
1 / -0

Average velocity is defined as

A
the change in position or displacement (Δx) divided by the time intervals (Δt), in which the displacement occurs

B
the change in path length (Δx) divided by the time intervals (Δt), in which the displacement occurs

C
the change in average distance from origin (Δx) divided by the time intervals (Δt), in which the displacement occurs

D
the change in average path length (Δx) divided by the time intervals (Δt), in which the displacement occurs

Solution

Average velocity is the displacement of an object, divided by the time it took to cover that distance.

Displacement is the straight line distance between the starting point and ending point of an object's motion.

Velocity is referred to as a vector quantity because it has both magnitude and direction.
Question 16
1 / -0

A person travels along a straight road for the first half time with a velocity v₁ and for the second half time with a velocity v₂. The mean velocity 'V' is given by

A
V =

B

C

D
Question 17
1 / -0

A particle experiences constant acceleration for 20 s after starting from rest. If it travels a distance s₁ in the first 10 seconds and distance s₂ in the next 10 seconds, then

A
s₁= s_₂

B
s₂ = 3s_₁

C
s₂ = 4s_₁

D
s₂ = 5s_₁
Question 18
1 / -0

A particle experiences constant acceleration for 6 seconds after starting from rest. It travels a distance S₁ in the first 2 seconds, a distance S₂ in the next 2 seconds and a distance S₃ in the last 2 seconds. Then, S₁: S₂: S₃ will be equal to

A
1 : 1 : 1

B
1 : 2 : 3

C
1 : 3 : 5

D
1 : 5 : 9
Question 19
1 / -0

A 175 m long train is travelling along a straight track with a velocity of 72 km/h. A bird is flying parallel to the train in the opposite direction with a velocity of 18 km/h. The time taken by the bird to cross the train is

A
35 seconds

B
27 seconds

C
11.6 seconds

D
7 seconds
Question 20
1 / -0

An object is said to be in uniform motion in a straight line if its displacement

A
is equal in not equal intervals of time.

B
is decreasing in equal intervals of time

C
is equal in equal intervals of time.

D
is increasing in equal intervals of time

Solution

Uniform motion is the kind of motion in which a body covers equal displacement in equal intervals of time. It does not matter how small the time intervals are, as long as the displacements covered are equal.
If a body is involved in rectilinear motion and the motion is uniform, then the acceleration of the body must be zero.