Uniformly accelerated motion, velocity time relations, position time relations - One Line Questions
1.
What is the average velocity of an object undergoing uniform acceleration if its initial velocity is u and final velocity is v? —
(u + v) / 2
2.
A train accelerates uniformly from 20 m/s to 50 m/s in 10 seconds. What is the magnitude of its acceleration? —
3 m/s^2
3.
A body starts from rest and moves with uniform acceleration. After 10 seconds, it has covered 100 meters. What is its acceleration? —
2 m/s^2
4.
What is the time taken for the stone in the previous question to reach its maximum height? —
2 s
5.
A stone is thrown vertically upwards with a velocity of 20 m/s. What is the maximum height it reaches? (g = 10 m/s^2) —
20 m
6.
What is the final velocity of the cyclist in the previous question? —
15 m/s
7.
What is the final velocity of the body in the previous question? —
20 m/s
8.
What distance does the ball in the previous question cover in 3 seconds? —
14.7 m
9.
A particle moves with an initial velocity of 5 m/s and a uniform acceleration of 2 m/s^2. What is its velocity after 10 seconds? —
25 m/s
10.
If a car accelerates uniformly from 10 m/s to 30 m/s in 5 seconds, what is its acceleration? —
4 m/s^2
11.
What is the displacement of the train in the previous question during this time interval? —
350 m
12.
A car accelerates from rest at 2 m/s^2. What is its velocity after 4 seconds? —
8 m/s
13.
What is the displacement of the particle in the previous question after 10 seconds? —
125 m
14.
A cyclist starts from rest and accelerates uniformly at 1.5 m/s^2 for 10 seconds. What distance does the cyclist cover? —
75 m
15.
What is the displacement of the car in the previous question after 4 seconds? —
16 m
16.
A ball is dropped from a height. Assuming negligible air resistance and uniform acceleration due to gravity, what is its velocity after 3 seconds? (g = 9.8 m/s^2) —
29.4 m/s
17.
If the acceleration is zero, the velocity-time graph is: —
A horizontal line
18.
If the acceleration is constant and negative, the velocity-time graph is: —
A straight line with negative slope
19.
If the acceleration is constant and positive, the velocity-time graph is: —
A straight line with positive slope
20.
The slope of the velocity-time graph for uniformly accelerated motion represents: —
Acceleration
21.
If an object is decelerating uniformly, its acceleration is: —
Constant and negative
22.
If an object is moving with uniform acceleration, its acceleration (a) is: —
Constant and non-zero
23.
The area under the velocity-time graph for uniformly accelerated motion represents: —
Displacement
24.
In the equation s = ut + (1/2)at^2, what does 's' represent? —
Displacement
25.
If an object's displacement-time graph is a curve with increasing slope, it implies: —
Increasing acceleration
26.
A particle starts from rest and travels a distance 's' in time 't'. If it continues with the same acceleration, how much distance will it cover in the next time interval 't'? —
3s
27.
Which equation describes the position (s) of an object in uniformly accelerated motion as a function of time (t), initial velocity (u), and acceleration (a)? —
s = ut + (1/2)at^2
28.
For an object moving with uniform acceleration, the displacement in the nth second is given by: —
29.
If the velocity-time graph is a straight line with a positive slope, the object is undergoing: —
Uniform acceleration
30.
The motion of a freely falling body near the Earth's surface (neglecting air resistance) is an example of: —
Uniform acceleration
31.
The velocity of a particle is given by v(t) = 5 + 2t. This represents motion with: —
Uniform acceleration
32.
The position of a particle is given by x(t) = 10 + 3t + 2t^2. This represents motion with: —
Uniform acceleration
33.
If the velocity-time graph is a straight line with a negative slope, the object is undergoing: —
Uniform deceleration
34.
If an object's velocity is decreasing at a constant rate, it is undergoing: —
Uniform deceleration
35.
If an object covers distances in the ratio 1:3:5 in consecutive equal time intervals, its motion is: —
Uniformly accelerated
36.
Consider an object thrown vertically upwards with an initial velocity. Its motion is an example of: —
Uniformly accelerated motion (downward acceleration)
37.
The relation s = (u + v)t / 2 is valid for: —
Uniformly accelerated motion only
38.
Which of the following equations represents the correct relation between final velocity (v), initial velocity (u), acceleration (a), and time (t) for uniformly accelerated motion? —
v = u + at
39.
The equation s = vt - (1/2)at^2 relates displacement (s), final velocity (v), acceleration (a), and time (t). This equation is derived from which fundamental kinematic relation? —
s = ut + (1/2)at^2
40.
Which kinematic equation can be rearranged to find the time taken to reach a certain velocity? —
v = u + at
41.
Which kinematic equation can be used to find the final velocity if initial velocity, acceleration, and displacement are known? —
v^2 = u^2 + 2as
42.
Which of the following equations is dimensionally correct? —
v = u + at
43.
For an object undergoing uniformly accelerated motion, which equation correctly relates final velocity (v), initial velocity (u), acceleration (a), and displacement (s)? —
v^2 = u^2 + 2as
44.
Which kinematic equation is useful when time is not given or not needed? —
v^2 = u^2 + 2as
45.
The equation that relates displacement, initial velocity, and final velocity without involving time is: —
v^2 = u^2 + 2as
46.
Which of the following is NOT a characteristic of uniform acceleration? —
Velocity is constant.
47.
If an object starts from rest and moves with uniform acceleration, its initial velocity (u) is: —
Zero
48.
If an object has a constant velocity, its acceleration is: —
Zero
49.
If an object's velocity-time graph is a horizontal line, it means the object has: —
Zero acceleration