Kinematics
Q. An object is thrown vertically upwards with a speed of 20 m/s. How long will it take to reach the maximum height?
A.
1 s
B.
2 s
C.
3 s
D.
4 s
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Solution
Time to reach maximum height (t) = u/g = 20/9.8 = 2.04 s.
Correct Answer: B — 2 s
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Q. An object is thrown vertically upwards with a speed of 30 m/s. How high will it rise before coming to rest?
A.
45 m
B.
60 m
C.
90 m
D.
120 m
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Solution
Using the formula: h = (v² - u²) / (2g), where v = 0 m/s, u = 30 m/s, g = 9.8 m/s². h = (0 - 30²) / (2 * -9.8) = 45.92 m, approximately 45 m.
Correct Answer: B — 60 m
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Q. An object is thrown vertically upwards with a speed of 30 m/s. How high will it rise before coming to rest momentarily?
A.
45 m
B.
60 m
C.
90 m
D.
135 m
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Solution
Using the formula: h = (v² - u²) / (2g), where v = 0 m/s (at the highest point), u = 30 m/s, g = 9.8 m/s². h = (0 - 30²) / (2 * -9.8) = 45.92 m, approximately 45 m.
Correct Answer: B — 60 m
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Q. An object moves in a circular path with a radius of 10 m at a speed of 5 m/s. What is the period of the motion?
A.
2π s
B.
4π s
C.
10 s
D.
20 s
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Solution
Period (T) = (2πr)/v = (2π * 10)/5 = 4π s.
Correct Answer: A — 2π s
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Q. An object moves in a straight line with a velocity of 10 m/s. If it accelerates at 2 m/s² for 5 seconds, what will be its final velocity?
A.
20 m/s
B.
30 m/s
C.
10 m/s
D.
15 m/s
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Solution
Final velocity (v) = u + at = 10 + (2 * 5) = 20 m/s.
Correct Answer: B — 30 m/s
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Q. An object moves in a straight line with an acceleration of 2 m/s². If its initial velocity is 3 m/s, what will be its velocity after 5 seconds?
A.
8 m/s
B.
10 m/s
C.
13 m/s
D.
15 m/s
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Solution
Final velocity (v) = u + at = 3 + (2 * 5) = 13 m/s.
Correct Answer: C — 13 m/s
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Q. An object moves in a straight line with an acceleration of 2 m/s². If its initial velocity is 10 m/s, what will be its velocity after 5 seconds?
A.
10 m/s
B.
20 m/s
C.
30 m/s
D.
40 m/s
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Solution
Final velocity (v) = u + at = 10 + 2*5 = 20 m/s.
Correct Answer: C — 30 m/s
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Q. An object moves in a straight line with an acceleration of 2 m/s². If its initial velocity is 5 m/s, what will be its velocity after 3 seconds?
A.
5 m/s
B.
8 m/s
C.
11 m/s
D.
14 m/s
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Solution
Final velocity (v) = u + at = 5 + (2 * 3) = 11 m/s.
Correct Answer: C — 11 m/s
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Q. An object moves in a straight line with an initial velocity of 5 m/s and accelerates at 2 m/s². What will be its velocity after 4 seconds?
A.
5 m/s
B.
13 m/s
C.
15 m/s
D.
20 m/s
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Solution
Using the formula: final velocity = initial velocity + acceleration * time = 5 + 2 * 4 = 13 m/s.
Correct Answer: B — 13 m/s
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Q. An object moves with a constant speed of 15 m/s for 10 seconds. What distance does it cover?
A.
100 m
B.
150 m
C.
200 m
D.
250 m
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Solution
Distance = speed * time = 15 m/s * 10 s = 150 m.
Correct Answer: B — 150 m
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Q. An object moves with a uniform speed of 15 m/s. How far will it travel in 20 seconds?
A.
150 m
B.
300 m
C.
450 m
D.
600 m
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Solution
Distance = speed * time = 15 m/s * 20 s = 300 m.
Correct Answer: B — 300 m
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Q. If a boat can travel 20 km upstream in 4 hours, what is the speed of the current if the speed of the boat in still water is 10 km/h?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
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Solution
Speed upstream = distance/time = 20/4 = 5 km/h. Speed of current = speed of boat - speed upstream = 10 - 5 = 5 km/h.
Correct Answer: A — 2 km/h
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Q. If a boat can travel at 15 km/h in still water and the current is 5 km/h, what is the speed of the boat upstream?
A.
10 km/h
B.
15 km/h
C.
20 km/h
D.
25 km/h
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Solution
Speed upstream = speed of boat - speed of current = 15 - 5 = 10 km/h.
Correct Answer: A — 10 km/h
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Q. If a car moving with a speed of 30 m/s applies brakes and comes to a stop in 5 seconds, what is the acceleration?
A.
-6 m/s²
B.
-5 m/s²
C.
-4 m/s²
D.
-3 m/s²
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Solution
Using the formula: acceleration = (final velocity - initial velocity) / time. Acceleration = (0 - 30) / 5 = -6 m/s².
Correct Answer: B — -5 m/s²
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Q. If a car moving with a speed of 30 m/s comes to a stop in 5 seconds, what is its deceleration?
A.
2 m/s²
B.
3 m/s²
C.
4 m/s²
D.
5 m/s²
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Solution
Deceleration = (final velocity - initial velocity) / time = (0 - 30) / 5 = -6 m/s².
Correct Answer: A — 2 m/s²
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Q. If a car travels 100 m in the first 5 seconds and 150 m in the next 5 seconds, what is its average speed over the 10 seconds?
A.
25 m/s
B.
30 m/s
C.
35 m/s
D.
40 m/s
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Solution
Total distance = 100 m + 150 m = 250 m. Total time = 10 s. Average speed = total distance / total time = 250 m / 10 s = 25 m/s.
Correct Answer: B — 30 m/s
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Q. If a car travels at a speed of 80 km/h and a bike travels at 60 km/h, how far apart will they be after 1 hour if they start from the same point and travel in the same direction?
A.
20 km
B.
30 km
C.
40 km
D.
50 km
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Solution
Relative speed = 80 - 60 = 20 km/h. Distance apart after 1 hour = 20 km.
Correct Answer: A — 20 km
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Q. If a car travels with a uniform speed of 60 km/h, how long will it take to cover a distance of 150 km?
A.
2.5 h
B.
3 h
C.
3.5 h
D.
4 h
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Solution
Time = distance / speed = 150 km / 60 km/h = 2.5 h.
Correct Answer: A — 2.5 h
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Q. If a cyclist travels at 15 km/h and a pedestrian walks at 5 km/h, how much faster is the cyclist than the pedestrian?
A.
5 km/h
B.
10 km/h
C.
15 km/h
D.
20 km/h
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Solution
Difference in speed = 15 - 5 = 10 km/h.
Correct Answer: B — 10 km/h
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Q. If a train travels at a speed of 72 km/h, how long will it take to cover a distance of 180 km?
A.
2 h
B.
2.5 h
C.
3 h
D.
3.5 h
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Solution
Time = distance / speed = 180 km / (72 km/h) = 2.5 h.
Correct Answer: C — 3 h
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Q. If two cars are moving in opposite directions at speeds of 40 km/h and 60 km/h, what is their relative speed?
A.
100 km/h
B.
20 km/h
C.
40 km/h
D.
60 km/h
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Solution
Relative speed = Speed of car 1 + Speed of car 2 = 40 km/h + 60 km/h = 100 km/h.
Correct Answer: A — 100 km/h
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Q. If two cars are moving towards each other at speeds of 40 km/h and 60 km/h, how long will it take for them to meet if they are 200 km apart?
A.
1 hour
B.
2 hours
C.
3 hours
D.
4 hours
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Solution
Relative speed = 40 km/h + 60 km/h = 100 km/h. Time = Distance / Relative Speed = 200 km / 100 km/h = 2 hours.
Correct Answer: B — 2 hours
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Q. If two objects are moving in opposite directions with speeds of 10 m/s and 15 m/s, what is their relative speed?
A.
5 m/s
B.
25 m/s
C.
15 m/s
D.
10 m/s
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Solution
Relative speed = Speed of object 1 + Speed of object 2 = 10 m/s + 15 m/s = 25 m/s.
Correct Answer: B — 25 m/s
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Q. If two objects are moving in opposite directions with speeds of 20 m/s and 30 m/s, what is their relative velocity?
A.
10 m/s
B.
50 m/s
C.
20 m/s
D.
30 m/s
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Solution
Relative velocity = Speed of object 1 + Speed of object 2 = 20 m/s + 30 m/s = 50 m/s.
Correct Answer: B — 50 m/s
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Q. If two objects are moving in opposite directions with speeds of 40 m/s and 60 m/s, what is their relative speed?
A.
20 m/s
B.
40 m/s
C.
60 m/s
D.
100 m/s
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Solution
Relative speed = Speed of object 1 + Speed of object 2 = 40 m/s + 60 m/s = 100 m/s.
Correct Answer: D — 100 m/s
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Q. If two objects are moving towards each other with speeds of 40 m/s and 60 m/s, how long will it take for them to collide if they are 200 m apart?
A.
1 s
B.
2 s
C.
3 s
D.
4 s
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Solution
Relative speed = 40 m/s + 60 m/s = 100 m/s. Time = Distance / Relative speed = 200 m / 100 m/s = 2 s.
Correct Answer: B — 2 s
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Q. Two cars are moving towards each other at speeds of 50 km/h and 70 km/h. If they are 200 meters apart, how long will it take for them to meet?
A.
5 seconds
B.
10 seconds
C.
15 seconds
D.
20 seconds
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Solution
Relative speed = 50 km/h + 70 km/h = 120 km/h = 33.33 m/s. Time = Distance/Speed = 200 m / 33.33 m/s = 6 seconds.
Correct Answer: B — 10 seconds
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Q. Two cars are moving towards each other with speeds of 50 km/h and 70 km/h. How long will it take for them to collide if they are 200 meters apart?
A.
5 seconds
B.
10 seconds
C.
15 seconds
D.
20 seconds
Show solution
Solution
Relative speed = 50 km/h + 70 km/h = 120 km/h = 33.33 m/s. Time = Distance / Relative speed = 200 m / 33.33 m/s = 6 seconds.
Correct Answer: B — 10 seconds
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Q. Two cars start from the same point and travel in opposite directions at speeds of 70 km/h and 50 km/h. How far apart will they be after 2 hours?
A.
240 km
B.
220 km
C.
200 km
D.
180 km
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Solution
Relative speed = 70 + 50 = 120 km/h. Distance apart after 2 hours = 120 × 2 = 240 km.
Correct Answer: A — 240 km
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Q. Two cars start from the same point and travel in opposite directions. If car A travels at 40 km/h and car B at 60 km/h, how far apart will they be after 1 hour?
A.
50 km
B.
80 km
C.
100 km
D.
120 km
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Solution
Relative speed = 40 + 60 = 100 km/h. Distance apart after 1 hour = 100 km.
Correct Answer: B — 80 km
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