Question

A body moves from A to F along the path shown below in 10s. What is the average velocity for the whole path?



A. 2m/s

B. 5m/s

C. 10m/sec

D. 4m/s

​

Answer 1

Answer:

answer (b) 5m/s

a. Area of graph above time axis

A=

2

1

×(8−4)×10=60m

Area of graph below time axis

B=

2

1

×4×10=20m

Average velocity in whole time of motion

v

=

Totaltime

Displacement

=

Totaltime

AreaA−AreaB

=

12

60−20

=3.33ms

−1

b. Average speed in whole time of motion

v

av

=

Totaltime

Totaldistance

=

Totaltime

AreaA+AreaB

=

12

60+20

=6.67ms

−1

c. Acceleration:

From 0 to 2 s;

a=

t

2

−t

1

v

2

−v

1

=

2−0

10−0

=5ms

−2

From 2 to 6 s :

a=

t

2

−t

1

v

2

−v

1

=

6−2

10−10

=0

From 10 to 12 s: a=

t

2

−t

1

v

2

−v

1

=

10−6

−10−10

=−5ms

−2

From 10 to 12 s:

a=

t

2

−t

1

v

2

−v

1

=

12−10

0−(−10)

=5ms −2

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