Question 9:
The basic unit of speed is:
(i) km/min
(ii) m/min
(iii) km/h
(iv) m/s
Answer:
(iv) m/s
The basic unit of distance is metre (m).
The basic unit of time is second (s).
Therefore, the basic unit of speed is m/s.
Question 10:
A car moves with a speed of 40 km/h for 15 minutes and then with a speed of 60 km/h for the next 15 minutes. The total distance covered by the car is:
(i) 100 km
(ii) 25 km
(iii) 15 km
(iv) 10 km
Answer:
(ii) 25 km
Case I
Speed of the car = 40 km/h
Time taken = 15 min =
Distance covered, d1 = Speed × Time taken = 40 × 0.25 = 10 km
Case II
Speed of the car = 60 km/h
Time taken = 15 min =
Distance covered, d2 = Speed × Time taken = 60 × 0.25 = 15 km
Total distance covered by the car, d = d1 + d2 = 10 + 15 = 25 km
Therefore, the total distance covered by the car is 25 km.
Question 11:
Suppose the two photographs, shown in Figure 1 and Figure 2, had been taken at an interval of 10 seconds. If a distance of 100 metres is shown by 1 cm in these photographs, calculate the speed of the blue car.
Figure 1 Vehicles moving in the same direction of on a road
Figure 2 Position of vehicles shown in Figure 1 after some time
Answer:
The distance covered by the blue car (as evident from the photograph) from one white strip to another, which is measured by scale is 1.4 cm.
It is given that 1 cm is equivalent to 100 m.
Therefore, 1.4 cm is equivalent to 140 m.
Distance travelled by the car = 140 m
Time interval between the two photographs = 10 s
Question 12:
Figure shows the distance-time graph for the motion of two vehicles A and B. Which one of them is moving faster?
Distance-time graph for the motion of two cars
Answer:
Vehicle A is moving faster than vehicle B.
Speed is given by the relation
This relation shows that speed of a vehicle is greater if it covers maximum distance in a given interval of time. To compare the distance, draw a line perpendicular to the time-axis, as shown in the following distance-time graph.
From the graph, it is evident that for a given time t, the distance covered by vehicle A is more than vehicle B. Hence, vehicle A is moving faster than vehicle B.
Question 13:
Which of the following distance-time graphs shows a truck moving with speed which is not constant?
Answer:
Graph (iii)
In a distance-time graph, the constant speed of a truck will be represented by a straight line.
In a distance-time graph, a straight line parallel to the time axis indicates that the truck is not moving.
A curved line on the distance-time graph indicates that the truck is moving with a speed which is not constant.