NCERT Solutions for Class 7 Science Chapter 8 Measurement of Time and Motion

Q1. Calculate the speed of a car that travels 150 metres in 10 seconds. Express your answer in km/h.

Answer:

Distance $=150\mathrm{m}$
Time taken $=10\mathrm{s}$

$\begin{array}{rl}& \text{ Speed }=\frac{\text{ Distance covered }}{\text{ Time taken }}=\frac{150\mathrm{m}}{10\mathrm{s}}\\ & \text{ Speed in }\mathrm{km}/\mathrm{hr}=15\times \frac{18}{5}=54\mathrm{km}/\mathrm{h}\end{array}$

Q2. A runner completes 400 metres in 50 seconds. Another runner completes the same distance in 45 seconds. Who has a greater speed and by how much?

Answer:

Runner 1:
Distance $=400\mathrm{m}$,
Time $=50\mathrm{s}$

$\text{ Speed }=\frac{\text{ Distance covered }}{\text{ Time taken }}=\frac{400\mathrm{m}}{50\mathrm{s}}=8\mathrm{m}/\mathrm{s}$

Runner 2:
Distance $=400\mathrm{m}$,
Time $=50\mathrm{s}$

$\text{ Speed }=\frac{\text{ Distance covered }}{\text{ Time taken }}=\frac{400\mathrm{m}}{45\mathrm{s}}=8.89\mathrm{m}/\mathrm{s}$

Difference $=8.89-8=0.89\mathrm{m}/\mathrm{s}$
Hence, speed of runner 2 is greater by approximately $0.89\mathrm{m}/\mathrm{s}$.

Q3. A train travels at a speed of 25 m/s and covers a distance of 360 km. How much time does it take?

Answer:

$\begin{array}{rl}& \text{ Speed }=25\mathrm{m}/\mathrm{s}\\ & \text{ Distance }=360\mathrm{km}=3,60,000\mathrm{m}\\ & \text{ Time taken }=\frac{\text{ Distance }}{\text{ Speed }}=\frac{3,60,0000\mathrm{m}}{25\mathrm{m}/\mathrm{s}}\\ & =14,400\mathrm{s}\\ & =240\mathrm{mins}\\ & =4\text{ hours }\end{array}$

Q4. A train travels 180 km in 3 h. Find its speed in:
(i) km/h
(ii) m/s
(iii) What distance will it travel in 4 h if it maintains the same speed throughout the journey?

Answer:

Distance $=180\mathrm{km}$, time $=3\mathrm{h}$
(i) Speed $=\frac{\text{ Distance }}{\text{ Time }}=\frac{180\mathrm{km}}{3\mathrm{h}}=60\mathrm{m}/\mathrm{h}$
(ii) Speed in $\mathrm{m}/\mathrm{s}=60\times \frac{5}{18}=16.677\mathrm{m}/\mathrm{s}$
(iii) Time $=4\mathrm{h}$, Speed $=60\mathrm{km}/\mathrm{h}$

Distance $=$ Speed $\times$ Time

$=60\times 4=240\mathrm{km}$

Q5. The fastest galloping horse can reach the speed of approximately 18 m/s. How does this compare to the speed of a train moving at 72 km/h?

Answer:

Speed of horse $=18\mathrm{m}/\mathrm{s}$
Speed of train $=72\mathrm{km}/\mathrm{h}=72\times \frac{5}{18}=20\mathrm{m}/\mathrm{s}$
The train is faster by $2\mathrm{m}/\mathrm{s}$ than the fastest galloping horse.

Q6. Distinguish between uniform and non-uniform motion using the example of a car moving on a straight highway with no traffic and a car moving in city traffic.
Answer:

Uniform motion: If an objects covers equal distances in equal distance in equal intervals of time, its motion is said to be uniform. A car moving on a straight highway with no traffic is an example of uniform motion.

Non-uniform motion: If an object covers unequal distances in equal interval of time, its motion is said to be non-uniform. A car moving in a traffic is an example of nonuniform motion.

Q7. Data for an object covering distances in different intervals of time are given in the following table. If the object is in uniform motion, fill in the gaps in the table.

Answer:

In uniform motion, object covers equal distances in equal intervals of time. Hence, the speed of an object remains constant throughout the motion.

The object covers 8 m in every 10 seconds. Hence, the speed of an object remains constant at 0.8 m/s throughout the motion.

Q8. A car covers 60 km in the fi rst hour, 70 km in the second hour, and 50 km in the third hour. Is the motion uniform? Justify your answer. Find the average speed of the car.

Answer:

The car covers different distances in each hour. Hence, the motion of the car is nonuniform.
Total distance $=60\mathrm{km}+70\mathrm{km}+50\mathrm{km}=180\mathrm{km}$
Total time $=3$ hours

$\begin{array}{rl}& \text{ Average speed }=\frac{\text{ Total distance travelled }}{\text{ Total time taken }}\\ & =\frac{180\mathrm{km}}{3\mathrm{h}}=60\mathrm{km}/\mathrm{h}\end{array}$

Hence, the average speed of the car is $60\mathrm{km}/\mathrm{h}$.

Q9. Which type of motion is more common in daily life — uniform or non-uniform? Provide three examples from your experience to support your answer.

Answer:

In our daily life, most motions are nonuniform because object do not move at the same speed all the time. Their speed changes due to factors like traffic, rough or uneven roads and other obstacles.

Examples:
• Travelling in a bus on an uneven road
• Playing cricket
• Walking through a crowded market

Q10. Data for the motion of an object are given in the following table. State whether the speed of the object is uniform or non-uniform. Find the average speed.

Answer:

The object exhibits non-uniform motion, because it covers

$\begin{array}{rl}& \text{ Total distance travelled }=60\mathrm{m}\\ & \text{ Total time taken }=100\mathrm{s}\\ & \begin{array}{rl}\text{ Average speed }& =\frac{\text{ Total distance }}{\text{ Total time taken }}\\ & =\frac{60}{100}\\ & =0.6\mathrm{m}/\mathrm{s}\end{array}\end{array}$

Q11. A vehicle moves along a straight line and covers a distance of 2 km. In the fi rst 500 m, it moves with a speed of 10 m/s and in the next 500 m, it moves with a speed of 5 m/s. With what speed should it move the remaining distance so that the journey is complete in 200 s? What is the average speed of the vehicle for the entire journey?

Answer:

Given
Total distance $=2\mathrm{km}=2000\mathrm{m}$,
Total time $=200$
Step 1: Time taken to cover the first 500 m

$\text{ Time }=\frac{\text{ Distance }}{\text{ Speed }}=\frac{500}{10}=50\mathrm{s}$

Step 2: Time taken to cover the next 500 m

$\text{ Time }=\frac{500}{10}=100\mathrm{s}$

Step 3: Remaining distance $=2000-1000=1000\mathrm{m}$

$\text{ Remaining time }=200-150=50\mathrm{s}$

Step 4: Speed required to cover the remaining 1000 m

$\text{ Speed }=\frac{1000}{50}=20\mathrm{m}/\mathrm{s}$

Step 5: Average speed $=\frac{\text{ Totaldistance }}{\text{ Totaltimetaken }}=\frac{2000}{200}=10\mathrm{m}/\mathrm{s}$