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Motion in a plane, part - 1

Total questions: 20

Worksheet time: 14mins

Name
Class
Date
1.

The acceleration of a particle starting from rest varies with time according to the relation a=bt+c , Then the velocity of the particle after time t must be:

a)

2bt2+ct

b)

1/2 bt2+ct

c)

bt2+ct

d)

1/2(bt2+ct)

2.

A projectile is fired a velocity of 150 meters per second at an angle of 30 degrees with the horizontal. What is the magnitude of the vertical component of the velocity at the time the projectile is fired?

a)

150. m/s

b)

130. m/s

c)

75. m/s

d)

225 m/s

3.

A particle has initial velocity (2j + 3k) and acceleration ( 0.3j + 0.2k) . The magnitude of velocity after 10 seconds will be:

a)

9 √2 units

b)

5 √2 units

c)

5 units

d)

9 units

4.

The time taken for one complete revolution is called the...

a)

Period

b)

Frequency

c)

Angular velocity

5.

Choose the incorrect option:

a)

A\overrightarrow{A} . B\overrightarrow{B} = B\overrightarrow{B} . A\overrightarrow{A}

b)

i.j=0

c)

k.k=0

d)

j.j=1

6.
If you throw a baseball straight up, what is its velocity at the highest point?
a)
9.8 m/s2
b)
9.8 m/s
c)
0 m/s2
d)
0 m/s
7.
Cross product of i x j
a)
k
b)
-k
8.

What is the magnitude of the resultant vector, r?

a)

3

b)

4

c)

5

d)

7

9.

When the only force on an object is gravity:

a)

free fall

b)

acceleration

c)

gravity

d)

range

10.

identify the correct option representing vector addition a + b =c

a)
b)
c)
d)
11.

identify the correct option representing a - b =c

a)
b)
c)
d)
12.
What kind of quantity has both a magnitude and a direction?
a)
scalar
b)
vector
c)
frame of reference
d)
time
13.
A speedometer measures what?
a)
acceleration
b)
displacement
c)
instantaneous speed
d)
velocity
14.

A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following:

a)

Hyperbolic path

b)

Straight path

c)

Circular path

d)

Parabolic path

15.

An airplane flying 490 m above ground level at 100 m/s, releases a block. How far on the ground will it strike?

a)

2 km

b)

0.1 km

c)

1 km

d)

None

16.

A body of mass m, projected at an angle of θ from the ground with an initial velocity of v, acceleration due to gravity is g, what is the maximum horizontal range covered?

a)

R = v2 (sin θ)/g

b)

R = v2 (sin 2θ)/g

c)

b) R = v2 (sin θ)/2g

d)

R = v2 (sin 2θ)/2g

17.

A car travels 5m in X direction and then 7m in Y direction. What is the final vector position of the car with respect to the origin?

a)

5î + 7ĵ

b)

7î + 5ĵ

c)

7î + 7ĵ

d)

5î + 5ĵ

18.

At highest point the value of acceleration is:

a)

maximum

b)

g

c)

minimum

d)

zero

19.

A ball is thrown up with a certain velocity at an angle theta to the horizontal. The graph between kinetic energy and H(height) is:

a)

a

b)

b

c)

c

d)

d

20.

Two particles are projected with same velocity but at angles of projection (45-θ) and (45+θ). Then

a)

2:1

b)

1:2

c)

1:1

d)

90/2θ