Question

Plot the velocity time graph according to the given data and answer the following questions: (3 mrks)
A. 1) Which part of the graph represents uniform/constant motion? (1 mrk)
2) Which part of the graph represents retarded motion? (1 mrk)
B. Find the acceleration of the body during the first 10 seconds. (2 mrks)
C. What is the quantity which is measured by the area occupied below the v-t graph? (1 mrk)
D. Find the distance travelled by the body during the time, t=10 seconds to t= 30 seconds. (2 mrks)​

Answer 1

Plot the velocity time graph according to the given data and answer the following questions:

Graph is in the attachment !

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A . 1) Which part of the graph represents uniform/constant motion?

In velocity time graph for uniform motion mean that the velocity of the body is constant with time .

So from point B to D which is from 10 sec to 30 sec part of graph represents uniform/constant motion .

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A . 2) Which part of the graph represents retarded motion?

In the graph , A body with retardation means that it is decreasing

So from point D to E which is from 40 sec to 50 sec part of the graph represents retarded motion .

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B. Find the acceleration of the body during the first 10 seconds.

We know that ,

• Acceleration = a
• final velocity = v
• initial velocity = u
• time interval = t

→ a = ( v - u ) / t

• v = 40 m
• u = 0 m
• t = 10 sec

→ a = ( 40 - 0 ) / 10

→ a = 40 / 10

→ a = 4 m/s²

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C. What is the quantity which is measured by the area occupied below the v-t graph?

Displacement is the quantity which is measured by the area occupied below the v-t graph .

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D. Find the distance travelled by the body during the time, t=10 seconds to t= 30 seconds.

We know that distance travelled is area under graph . and from 10 to 30 seconds it is forming a rectangle .

hence , Distance travelled →

→ Area of rectangle = length × base

→ Area of rectangle = 40 × 20

→ Area of rectangle = 800 m

Answer 2

Plot the velocity time graph according to the given data and answer the following questions: (3 mrks)

A. 1) Which part of the graph represents uniform/constant motion? (1 mrk)

2) Which part of the graph represents retarded motion? (1 mrk)

B. Find the acceleration of the body during the first 10 seconds. (2 mrks)

C. What is the quantity which is measured by the area occupied below the v-t graph? (1 mrk)

D. Find the distance travelled by the body during the time, t=10 seconds to t= 30 seconds. (2 mrks)