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CLASS 7 · SCIENCE · CHAPTER 8

Measurement of Time and Motion

Simple worked answers to all eleven end questions, five exploratory projects, and the chapter’s four activities, pendulum investigation, train-speed task, and motion-data question.

22 worked answersComplete chapter answers

22 worked answers · short steps first, explanations when you need them

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Textbook pages 102–104

Question 1

Calculate the speed of a car that travels 150 metres in 10 seconds. Express it in km/h.

Steps only

150 ÷ 10 = 15 m/s; 15 × 3.6 = 54 km/h.

Answer

54 km/h

Question 2

One runner covers 400 metres in 50 seconds and another covers it in 45 seconds. Who is faster and by how much?

Steps only

First: 8 m/s. Second: about 8.89 m/s. Difference: about 0.89 m/s.

Answer

The second runner is faster by about 0.89 m/s.

Question 3

A train travels at 25 m/s and covers 360 km. How much time does it take?

Steps only

360 km = 360,000 m; 360,000 ÷ 25 = 14,400 s = 4 h.

Answer

4 hours

Question 4

A train travels 180 km in 3 h. Find (i) its speed in km/h, (ii) its speed in m/s, and (iii) the distance it travels in 4 h at the same speed.

Steps only

180 ÷ 3 = 60 km/h; 60 ÷ 3.6 ≈ 16.67 m/s; 60 × 4 = 240 km.

Answer

60 km/h; 16.67 m/s; 240 km.

Question 5

A galloping horse can reach about 18 m/s. Compare this with a train moving at 72 km/h.

Steps only

18 m/s = 64.8 km/h; 72 − 64.8 = 7.2 km/h.

Answer

The train is faster by 7.2 km/h.

Question 6

Distinguish between uniform and non-uniform motion using a car on an empty straight highway and a car in city traffic.

Steps only

Steady speed on a straight highway: uniform. Changing speed in traffic: non-uniform.

Answer

City traffic is a common example of non-uniform motion.

Question 7

An object moves uniformly. Complete the missing table entries. Time (s): 0, 10, 20, 30, __, 50, __, 70. Distance (m): 0, 8, __, 24, 32, 40, __, 56.

Steps only

Add 8 m for every 10 s.

Answer

At 20 s: 16 m; at 60 s: 48 m.

Question 8

A car travels 60 km in the first hour, 70 km in the second, and 50 km in the third. Is its motion uniform? Find its average speed.

Steps only

Different distances in equal hours mean non-uniform motion; 180 ÷ 3 = 60 km/h.

Answer

Non-uniform; average speed = 60 km/h.

Question 9

Which is more common in daily life: uniform or non-uniform motion? Give three examples.

Steps only

Daily motion usually changes speed; examples include buses, walkers, and bicycles in traffic.

Answer

Non-uniform motion is more common.

Question 10

For times 0, 10, 20, …, 100 s, the distances are 0, 6, 10, 16, 21, 29, 35, 42, 45, 55, 60 m. Is the speed uniform? Find the average speed.

Steps only

Unequal distance increases mean non-uniform speed; 60 ÷ 100 = 0.6 m/s.

Answer

Non-uniform; average speed = 0.6 m/s.

Question 11

A vehicle travels 2 km: first 500 m at 10 m/s, next 500 m at 5 m/s. What speed is needed for the remaining distance to complete the trip in 200 s? What is the average speed for the whole trip?

Steps only

First parts take 50 + 100 = 150 s; remaining 1,000 m in 50 s needs 20 m/s. Total average: 2,000 ÷ 200 = 10 m/s.

Answer

Required speed = 20 m/s; average speed = 10 m/s.

Exploratory Projects

Textbook pages 104

Question Project 1

Try bowls of different sizes and holes of different sizes. How can you make a floating-bowl water clock sink in about 24 minutes?

Steps only

Try different bowl and hole sizes, time each trial, and repeat the combination closest to 24 minutes.

Answer

Record repeated trials; change one feature at a time.

Question Project 2

How can students measure pulse rate, use pulse beats to estimate time, and develop a story about it?

Steps only

Measure beats per minute, use the rate to estimate a short time, and write a story about checking the estimate.

Answer

At 75 beats per minute, 25 beats are about 20 seconds; pulse timing is approximate.

Question Project 3

Why might repeated time-period readings for a pendulum differ slightly, and how can the experiment be improved?

Steps only

Use the same length and release angle, time many swings, repeat, and average.

Answer

Consistent setup and repeated measurements reduce timing differences.

Question Project 4

Measure a swing’s time for 10 oscillations with children of different weights, then compare swings of different lengths. Does weight affect the time period? How does length affect it? Is a swing a pendulum?

Steps only

Time 10 swings, divide by 10, then compare average periods for different riders and lengths.

Answer

A swing acts like a pendulum. Its length affects the period; rider weight has little effect.

Question Project 5

Find the winners’ times for the 100 m, 200 m, and 400 m races for men and women at the last two Olympic Games. Calculate and compare their speeds. Which event has the greatest speed?

Steps only

Speed = distance ÷ time. For example, Paris 2024 men’s 200 m: 200 ÷ 19.46 ≈ 10.28 m/s.

Answer

In this sample, Paris 2024 men’s 200 m has the greatest average speed: about 10.28 m/s.

Activities and In-text Questions

Textbook pages 107–117

Question Activity 8.1

How can you use the marked bottle to measure time after the water has dripped into its lower half?

Steps only

How can you use the marked bottle to measure time after the water has dripped into its lower half?

Answer

Mark the water level in the lower half after each minute as the water drips through the small cap hole.

Question Activity 8.2

How do you calculate a pendulum’s time period, and what should repeated readings show?

Steps only

How do you calculate a pendulum’s time period, and what should repeated readings show?

Answer

Count 10 complete oscillations and measure their total time.

Question Think like a scientist: pendulum variables

How can you test whether a pendulum’s length or bob mass affects its time period?

Steps only

How can you test whether a pendulum’s length or bob mass affects its time period?

Answer

Change one factor at a time.

Question Activity 8.3

What is the smallest time interval shown by the wall clock in the figure?

Steps only

What is the smallest time interval shown by the wall clock in the figure?

Answer

The smallest interval shown is 1 second.

Question Activity 8.4

How can you compare train speeds between two stations using a railway timetable?

Steps only

How can you compare train speeds between two stations using a railway timetable?

Answer

For each train, note the distance between the stations and subtract its departure time from its arrival time.

Question Table 8.3: Comparing trains

Which train moves with uniform linear motion between 10:00 and 11:00, based on the distances in Table 8.3?

Steps only

Which train moves with uniform linear motion between 10:00 and 11:00, based on the distances in Table 8.3?

Answer

Train X moves uniformly because it covers 20 km in each 10-minute interval.

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