A car is moving on a straight road with uniform acceleration. The speed of car varies with time as follows: Time ( s ) 0 2 4 6 8 10 Speed ( m s - 1 ) 4 8 12 16 20 24 Draw the speed time graph choosing a convenient scale. a. Calculate the acceleration of the car. b. Calculate the distance travelled by the car in 10 seconds .

The speed-time graph for the given data is shown below: We will simply plot the points into ( x , y ) coordinate system and draw the curve. According to the given data, initial velocity of car is 4 m s - 1 and it is increasing by 4 m s - 1 in every two seconds, that means slope of speed-time graph is constant. So, acceleration of car is also constant. Here, the initial velocity is u = 4 m s - 1 , final velocity is 24 m s - 1 and time taken is t = 10 - 0 = 10 s . Therefore, acceleration, a = v - u t = 24 - 4 10 - 0 = 2 m s - 2 . The distance travelled is s = u t + 1 2 a t 2 = 4 × 10 + 1 2 × 2 × 10 2 = 40 + 100 = 140 m .

The graph given below shows how the speed of a car changes with time: What is the initial speed of car?

The given speed-time graph gives information of the car's speed between 0 to 10 h . In the graph, at time t = 0 s , the speed of the car is u = 10 km h - 1 which is its initial speed. Thus, from the graph it is clear that the car starts with a speed of 10 km h - 1 and attains a maximum speed of 35 km h - 1 .

The graph given below shows how the speed of a car changes with time. What is the maximum speed attained by car?

According to the graph, we can see that the maximum speed attained, v = 35 km h - 1 . Speed is defined as the distance covered per unit time. Note: Observe how high the graph is rising vertically, as its y - a x i s is showing speed.

The graph given below shows how the speed of a car changes with time: Which part of graph shows zero acceleration?

B C is the part of the curve where acceleration is zero as the speed is constant from B to C . Acceleration is the rate of change of velocity with respect to time, and speed is the magnitude of velocity.

The graph given below shows how the speed of a car changes with time. Which part of graph shows varying retardation?

By looking at the graph we can clearly see that the curve C D shows a decrement in speed with time, hence it shows retardation. Also, the slope of the graph is changing. Thus, it shows a varying retardation. NOTE: Retardation means deceleration i.e. when the speed decreases with time.

The graph given below shows how the speed of a car changes with time. Find the distance travelled in first 8 hours.

Distance can be calculated as the area under the curve of the speed-time graph. Here we need to find the distance for first 8 hrs . Therefore distance, d = Area under the curve A B + Area under the curve BC ⇒ d = 3 × ( 35 + 10 ) 2 + 5 × 35 = 242 . 5 km .

E M B I B E

Science for Ninth Class Part 1 Physics>Chapter 1 - Motion>Questions Based on High Order Thinking Skills (HOTS)>Q 58

EASY

9th CBSE

IMPORTANT

Earn 100

The speed - time graph of an ascending passenger lift is given alongside. What is the acceleration of the lift between second and tenth second?

Important Questions on Motion

EASY

9th CBSE

IMPORTANT

Science for Ninth Class Part 1 Physics>Chapter 1 - Motion>Questions Based on High Order Thinking Skills (HOTS)>Q 58

The speed time graph of an ascending passenger lift is given alongside. What is acceleration of the lift during the last two seconds?

Question Image

MEDIUM

9th CBSE

IMPORTANT

Science for Ninth Class Part 1 Physics>Chapter 1 - Motion>Questions Based on High Order Thinking Skills (HOTS)>Q 59

A car is moving on a straight road with uniform acceleration. The speed of car varies with time as follows:

Time ( $s$ )	0	2	4	6	8	10
Speed ( $m s^{- 1}$ )	4	8	12	16	20	24

Draw the speed time graph choosing a convenient scale.

a. Calculate the acceleration of the car.

b. Calculate the distance travelled by the car in $10 seconds$ .

MEDIUM

9th CBSE

IMPORTANT

Science for Ninth Class Part 1 Physics>Chapter 1 - Motion>Questions Based on High Order Thinking Skills (HOTS)>Q 60

The graph given below shows how the speed of a car changes with time:

Question Image

What is the initial speed of car?

MEDIUM

9th CBSE

IMPORTANT

Science for Ninth Class Part 1 Physics>Chapter 1 - Motion>Questions Based on High Order Thinking Skills (HOTS)>Q 60

The graph given below shows how the speed of a car changes with time.

Question Image

What is the maximum speed attained by car?

EASY

9th CBSE

IMPORTANT

Science for Ninth Class Part 1 Physics>Chapter 1 - Motion>Questions Based on High Order Thinking Skills (HOTS)>Q 60

The graph given below shows how the speed of a car changes with time:

Question Image

Which part of graph shows zero acceleration?

EASY

9th CBSE

IMPORTANT

Science for Ninth Class Part 1 Physics>Chapter 1 - Motion>Questions Based on High Order Thinking Skills (HOTS)>Q 60

The graph given below shows how the speed of a car changes with time.

Question Image

Which part of graph shows varying retardation?

MEDIUM

9th CBSE

IMPORTANT

Science for Ninth Class Part 1 Physics>Chapter 1 - Motion>Questions Based on High Order Thinking Skills (HOTS)>Q 60

The graph given below shows how the speed of a car changes with time.

Question Image

Find the distance travelled in first 8 hours.

MEDIUM

9th CBSE

IMPORTANT

Science for Ninth Class Part 1 Physics>Chapter 1 - Motion>Questions Based on High Order Thinking Skills (HOTS)>Q 61

Three speed-time graphs are shown below. Which graph represents the case of a ball thrown vertically upwards and returning to the hands of the thrower?

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