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WorksheetsUni Vectors and Horizontal Motion Review
Total questions: 60
Worksheet time: 30mins
A vector A = 5 i + 12 j m. What is its magnitude?
12.0 m
13.0 m
17.0 m
7.0 m
Which of the following is the unit vector in the direction of B = 3 i - 4 j?
(0.6 i - 0.8 j)
(0.8 i - 0.6 j)
(3 i - 4 j)
(4 i + 3 j)
The unit vector along R = 8 i + 15 j is:
(0.47 i + 0.88 j)
(8 i + 15 j)
(0.6 i + 0.8 j)
(15 i + 8 j)
If C = 7 i - 24 j, what is the direction angle θ from the +x axis?
106.6°
73.4°
45.0°
120.0°
The vector D = 10 i + 0 j is:
purely horizontal
purely vertical
inclined 45°
zero vector
A unit vector u has components (0.707, 0.707). Its magnitude is:
0.5
1.0
1.4
2.0
The vector P = 6 i + 8 j. Its unit vector is:
(0.6 i + 0.8 j)
(0.8 i + 0.6 j)
(0.75 i + 0.25 j)
(0.25 i + 0.75 j)
A vector has a magnitude of 20 m and is directed 60° above the +x axis. Its unit vector is:
A. (0.5 i + 0.866 j)
B. (10 i + 17.32 j)
Which is NOT a unit vector?
(1, 0)
(0, 1)
(0.5, 0.5)
(√2/2, √2/2)
If u is a unit vector in the direction of v = -5 i + 12 j, then u is:
(-0.3846 i + 0.9231 j)
(0.3846 i - 0.9231 j)
(5 i - 12 j)
(-12 i + 5 j)
Find the x-component of A = 20 m at 37° above the x-axis.
20.0 m
16.0 m
12.0 m
15.9 m
The sum of A = 3 i + 4 j and B = -4 i + 2 j is:
(-1 i + 6 j)
(-7 i + 2 j)
(7 i + 6 j)
(-1 i - 6 j)
A unit vector in the negative y-direction is:
j
-j
i
-i
If a vector R has a magnitude of 50 m and a unit vector (0.6, 0.8), then R is:
(30 i + 40 j)
(25 i + 25 j)
(40 i + 30 j)
(50 i + 0 j)
The magnitude of a unit vector is always:
0
1
Depends on components
Cannot be determined
A car travels 60 km east in 1.5 h at constant velocity. Its speed is:
30 km/h
40 km/h
50 km/h
60 km/h
A cyclist moves at a constant velocity of 12 m/s for 50 s. Distance traveled:
500 m
600 m
750 m
800 m
A bus accelerates uniformly from rest to 20 m/s in 10 s. Its acceleration is:
1 m/s²
2 m/s²
4 m/s²
0.5 m/s²
A motorbike starts at 5 m/s and accelerates at 3 m/s² for 8 s. Its final velocity is:
24 m/s
29 m/s
30 m/s
28 m/s
In the previous question, the displacement is:
112 m
128 m
140 m
144 m
A projectile moves horizontally at 15 m/s for 4 s before hitting the ground. Its horizontal displacement is:
45 m
50 m
55 m
60 m
A runner increases speed from 4 m/s to 10 m/s in 6 s. Acceleration:
1 m/s²
0.75 m/s²
2 m/s²
1.5 m/s²
A car moving at 20 m/s stops in 5 s. The uniform acceleration is:
-4 m/s²
4 m/s²
The displacement during the motion in Q23 is:
50 m
60 m
75 m
100 m
A cyclist travels 10 s at 8 m/s, then accelerates at 1 m/s² for 5 s. Total distance:
125 m
130 m
140 m
150 m
A car travels at constant velocity of 72 km/h. In 25 minutes, it covers:
18 km
25 km
30 km
35 km
A scooter accelerates from rest at 2 m/s² for 12 s. Final velocity:
20 m/s
22 m/s
24 m/s
26 m/s
A motorist travels 100 m in 5 s at uniform velocity. His speed is:
15 m/s
18 m/s
20 m/s
25 m/s
A ball rolls horizontally at 5 m/s. How far will it travel in 8 s?
30 m
35 m
40 m
45 m
A car starts at 10 m/s and accelerates uniformly at 2 m/s² for 6 s. Displacement:
48 m
54 m
60 m
66 m
The magnitude of a unit vector is always:
0
1
Between 0 and 1
Cannot be determined
In unit vector notation, i represents a vector:
Along the y-axis
Along the x-axis
Along the z-axis
With zero magnitude
Uniform motion means:
Constant speed in a straight line
Changing speed in a straight line
Motion along a curved path
Varying acceleration
The SI unit of velocity is:
m/s²
m/s
m
s
Which equation applies to uniform acceleration?
v = u + at
v = s/t
a = Δv/Δt
Both A and C
A vector has components (0, -1). It points:
Upward
Downward
Rightward
Leftward
Which statement is TRUE for a unit vector?
It has no direction
It always has a magnitude of 1
It always points along the x-axis
It has no components
If a body is moving at constant velocity horizontally:
There is no horizontal acceleration
There is no horizontal velocity
The difference between speed and velocity is that velocity:
Has no direction
Is scalar
Has magnitude and direction
Is always greater than speed
If vector A = (3, 4) m and vector B = (−3, 4) m, then:
They have the same magnitude but different directions
They have the same direction but different magnitudes
They are parallel
They are equal
In uniform acceleration, the velocity-time graph is:
Horizontal line
Vertical line
Straight line sloping up or down
Curved line
Which best describes displacement?
Total ground covered
Change in position with direction
Path length traveled
Distance per unit time
A particle moves horizontally at 10 m/s for 5 s. Displacement is:
50 m
40 m
60 m
45 m
Find the unit vector of a vector with components (6, 8).
(0.6, 0.8)
(0.8, 0.6)
(6, 8)
(3, 4)
A car accelerates from rest at 2 m/s² for 6 s. Its final velocity is:
10 m/s
12 m/s
14 m/s
18 m/s
Vector A = (4, 0), Vector B = (0, 3). Their sum is:
(4, 3)
(3, 4)
(7, 0)
(0, 7)
A bike moves at 12 m/s and decelerates at 3 m/s² until it stops. Time taken:
2 s
3 s
4 s
5 s
A projectile moves horizontally at 20 m/s. In 3 s, it covers:
50 m
60 m
40 m
80 m
A velocity-time graph is a straight line sloping upward. This indicates:
Constant velocity
Uniform acceleration
Decreasing acceleration
Variable acceleration
Two vectors have equal magnitudes but opposite directions. Their sum is:
Double one vector
Zero
Half one vector
Perpendicular
If a car moves at 10 m/s east for 5 s and then 10 m/s west for 5 s, its displacement is:
0 m
50 m
100 m
25 m
A constant acceleration in the negative x-direction means:
Speed is increasing in +x direction
Speed is decreasing in +x direction
Velocity is constant
Displacement is zero
The area under a velocity-time graph represents:
Velocity
Acceleration
A vector has zero magnitude when:
Its components are equal
Its components are zero
Its direction is undefined
Both B and C
A student claims that a body moving at constant velocity must have zero net force. This is:
True, by Newton’s First Law
False, because forces are always present
True, only in vertical motion
False, because motion requires force
If two runners have the same speed but different velocities, then:
They are moving in the same direction
They are moving in different directions
They are at rest
They have different accelerations
Which situation shows uniform acceleration?
A car traveling at a steady 60 km/h
A train slowing down at a constant rate
A plane changing direction but keeping speed constant
A runner speeding up irregularly
You are designing a robot that must move in a straight line with a speed of 2 m/s. Which control instruction ensures uniform motion?
Keep acceleration at 2 m/s²
Keep acceleration at 0
Gradually reduce acceleration
Alternate between positive and negative acceleration
To create a horizontal motion experiment with uniform acceleration, you should:
Use a frictionless track and constant force
Vary the force every second
Use different mass carts in each trial
Measure only displacement, not time
You are tasked with programming a game character to move diagonally. Which vector instruction is correct for equal x and y motion?
Velocity = (1, 0)
Velocity = (0, 1)
Velocity = (v/√2, v/√2)
Velocity = (v, v)
