Motion Study Materials for Competitive Exam Preparation

Motion

Q. A ball is dropped from a height of 80 m. How long will it take to reach the ground? (Take g = 10 m/s²) (2021)

A. 4 s
B. 5 s
C. 6 s
D. 8 s

Solution

Using the formula h = (1/2)gt², we have 80 = (1/2)(10)t². Solving gives t² = 16, so t = 4 s.

Correct Answer: B — 5 s

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Q. A ball is thrown upwards with a speed of 15 m/s. How long will it take to reach the highest point? (Take g = 10 m/s²) (2023)

A. 1.5 s
B. 2 s
C. 3 s
D. 4 s

Solution

Time to reach highest point = u/g = 15/10 = 1.5 s.

Correct Answer: B — 2 s

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Q. A boat can travel at a speed of 10 km/h in still water. If it goes downstream, its speed increases by 2 km/h. What is its speed downstream? (2021)

A. 10 km/h
B. 12 km/h
C. 14 km/h
D. 16 km/h

Solution

Speed downstream = Speed in still water + Speed increase = 10 km/h + 2 km/h = 12 km/h.

Correct Answer: B — 12 km/h

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Q. A car accelerates from rest at a rate of 2 m/s². How far does it travel in 10 seconds? (2020)

A. 50 m
B. 100 m
C. 150 m
D. 200 m

Solution

Using the formula s = ut + (1/2)at²; s = 0 + (1/2)(2)(10²) = 100 m.

Correct Answer: B — 100 m

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Q. A car accelerates uniformly from rest to a speed of 25 m/s in 10 seconds. What is the distance covered during this time? (2020)

A. 100 m
B. 125 m
C. 150 m
D. 200 m

Solution

Using the formula s = ut + (1/2)at². Here, u = 0, a = (25-0)/10 = 2.5 m/s². s = 0 + (1/2)(2.5)(10²) = 125 m.

Correct Answer: B — 125 m

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Q. A car travels 100 km in 2 hours and then 50 km in 1 hour. What is the average speed of the car for the entire journey? (2021)

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 75 km/h

Solution

Total distance = 100 km + 50 km = 150 km. Total time = 2 h + 1 h = 3 h. Average speed = Total distance / Total time = 150 km / 3 h = 50 km/h.

Correct Answer: C — 70 km/h

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Q. A car travels 100 km in 2 hours and then 50 km in 1 hour. What is the total average speed of the car? (2019)

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h

Solution

Total distance = 100 + 50 = 150 km. Total time = 2 + 1 = 3 hours. Average speed = Total distance / Total time = 150/3 = 50 km/h.

Correct Answer: B — 60 km/h

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Q. A car travels at a speed of 60 km/h. How far will it travel in 2.5 hours? (2021)

A. 120 km
B. 150 km
C. 180 km
D. 200 km

Solution

Distance = Speed × Time = 60 km/h × 2.5 h = 150 km

Correct Answer: B — 150 km

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Q. A cyclist covers a distance of 30 km at a speed of 15 km/h. How long does it take to complete the journey? (2022)

A. 1 hour
B. 2 hours
C. 2.5 hours
D. 3 hours

Solution

Time = Distance / Speed = 30 km / 15 km/h = 2 hours.

Correct Answer: B — 2 hours

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Q. A cyclist covers a distance of 30 km at a speed of 15 km/h. How long does it take to cover this distance? (2022)

A. 1 hour
B. 2 hours
C. 2.5 hours
D. 3 hours

Solution

Time = Distance / Speed = 30 km / 15 km/h = 2 hours.

Correct Answer: B — 2 hours

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Q. A cyclist covers a distance of 30 km in 1.5 hours. What is his speed in m/s? (2022)

A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s

Solution

Speed = Distance / Time = 30 km / 1.5 h = 20 km/h = (20 × 1000 m) / (3600 s) = 5.56 m/s, approximately 5 m/s.

Correct Answer: B — 10 m/s

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Q. A cyclist covers a distance of 90 km in 3 hours. What is the average speed of the cyclist? (2022)

A. 25 km/h
B. 30 km/h
C. 35 km/h
D. 40 km/h

Solution

Average Speed = Total Distance / Total Time = 90 km / 3 h = 30 km/h.

Correct Answer: B — 30 km/h

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Q. A person walks 3 km at a speed of 4 km/h and then runs 2 km at a speed of 8 km/h. What is the total time taken? (2020)

A. 1 hour
B. 1.25 hours
C. 1.5 hours
D. 1.75 hours

Solution

Time walking = 3 km / 4 km/h = 0.75 hours; Time running = 2 km / 8 km/h = 0.25 hours. Total time = 0.75 + 0.25 = 1 hour.

Correct Answer: B — 1.25 hours

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Q. A person walks 3 km in 30 minutes. What is his speed in km/h? (2023)

A. 4 km/h
B. 5 km/h
C. 6 km/h
D. 7 km/h

Solution

Speed = Distance / Time = 3 km / 0.5 h = 6 km/h.

Correct Answer: B — 5 km/h

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Q. A person walks 3 km north and then 4 km east. What is the straight-line distance from the starting point? (2021)

A. 5 km
B. 6 km
C. 7 km
D. 8 km

Solution

Using Pythagoras theorem, distance = √(3² + 4²) = √(9 + 16) = √25 = 5 km.

Correct Answer: A — 5 km

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Q. A person walks 3 km towards the north and then 4 km towards the east. What is the straight-line distance from the starting point? (2020)

A. 5 km
B. 6 km
C. 7 km
D. 8 km

Solution

Using Pythagoras theorem, distance = √(3² + 4²) = √(9 + 16) = √25 = 5 km.

Correct Answer: A — 5 km

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Q. A person walks 4 km at a speed of 4 km/h and then runs 3 km at a speed of 6 km/h. What is the total time taken? (2020)

A. 1 hour
B. 1.5 hours
C. 2 hours
D. 2.5 hours

Solution

Time walking = 4 km / 4 km/h = 1 hour; Time running = 3 km / 6 km/h = 0.5 hours. Total time = 1 + 0.5 = 1.5 hours.

Correct Answer: B — 1.5 hours

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Q. A runner completes a 400 m lap in 50 seconds. What is the average speed of the runner in m/s? (2019)

A. 6 m/s
B. 7 m/s
C. 8 m/s
D. 9 m/s

Solution

Average speed = Total distance / Total time = 400 m / 50 s = 8 m/s.

Correct Answer: A — 6 m/s

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Q. A stone is thrown vertically upwards with a speed of 15 m/s. How long will it take to reach the highest point? (Take g = 10 m/s²) (2023)

A. 1.5 s
B. 2 s
C. 3 s
D. 4 s

Solution

Time to reach highest point = u/g = 15/10 = 1.5 s.

Correct Answer: B — 2 s

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Q. A train leaves a station and travels at a speed of 80 km/h. How far will it travel in 3 hours? (2022)

A. 200 km
B. 240 km
C. 260 km
D. 300 km

Solution

Distance = Speed × Time = 80 km/h × 3 h = 240 km.

Correct Answer: B — 240 km

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Q. A train leaves a station and travels at a speed of 90 km/h. How long will it take to cover 270 km? (2022)

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours

Solution

Time = Distance / Speed = 270 km / 90 km/h = 3 hours.

Correct Answer: B — 3 hours

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Q. A train leaves a station at 2 PM traveling at 80 km/h. If it travels for 3 hours, at what time will it arrive at the next station? (2022)

A. 4 PM
B. 5 PM
C. 6 PM
D. 7 PM

Solution

Departure time = 2 PM, travel time = 3 hours. Arrival time = 2 PM + 3 hours = 5 PM.

Correct Answer: C — 6 PM

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Q. A train travels 120 km at a speed of 60 km/h and then 180 km at 90 km/h. What is the average speed for the entire journey? (2019)

A. 72 km/h
B. 75 km/h
C. 80 km/h
D. 85 km/h

Solution

Total time = (120/60) + (180/90) = 2 + 2 = 4 hours. Total distance = 120 + 180 = 300 km. Average speed = Total distance / Total time = 300/4 = 75 km/h.

Correct Answer: C — 80 km/h

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Q. A train travels at a speed of 90 km/h. How long will it take to cover 450 km? (2019)

A. 4 hours
B. 5 hours
C. 6 hours
D. 7 hours

Solution

Time = Distance / Speed = 450 km / 90 km/h = 5 hours.

Correct Answer: C — 6 hours

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Q. A train travels from station A to station B, a distance of 300 km, at a speed of 75 km/h. How long does the journey take? (2019)

A. 3 hours
B. 4 hours
C. 5 hours
D. 6 hours

Solution

Time = Distance / Speed = 300 km / 75 km/h = 4 hours.

Correct Answer: C — 5 hours

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Q. A vehicle accelerates from rest at a rate of 2 m/s². How far does it travel in 10 seconds? (2020)

A. 50 m
B. 100 m
C. 150 m
D. 200 m

Solution

Using the formula s = ut + (1/2)at²; s = 0 + (1/2)(2)(10²) = 100 m.

Correct Answer: B — 100 m

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Q. A vehicle accelerates from rest to a speed of 36 m/s in 12 seconds. What is the distance covered during this time? (2023)

A. 108 m
B. 144 m
C. 180 m
D. 216 m

Solution

Using the formula s = ut + (1/2)at², where a = (v-u)/t = (36-0)/12 = 3 m/s², we find s = 0 + (1/2)(3)(12²) = 216 m.

Correct Answer: B — 144 m

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Q. A vehicle travels 100 km in 2 hours and then 50 km in 1 hour. What is its average speed for the entire trip? (2019)

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 75 km/h

Solution

Total distance = 100 km + 50 km = 150 km; Total time = 2 h + 1 h = 3 h. Average speed = Total distance / Total time = 150 km / 3 h = 50 km/h.

Correct Answer: C — 70 km/h

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Q. An object is thrown horizontally from a height of 45 m. How long will it take to hit the ground? (Take g = 10 m/s²) (2022)

A. 3 s
B. 4 s
C. 5 s
D. 6 s

Solution

Using h = (1/2)gt², 45 = (1/2)(10)t². Solving gives t² = 9, so t = 3 s.

Correct Answer: B — 4 s

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Q. An object is thrown vertically upwards with a speed of 20 m/s. How high will it rise before coming to rest? (Take g = 10 m/s²) (2020)

A. 20 m
B. 40 m
C. 50 m
D. 80 m

Solution

Using the formula h = (u²)/(2g) = (20²)/(2 × 10) = 20 m.

Correct Answer: B — 40 m

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Motion

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