Question

A particle starts from rest and moves with a uniform acceleration of 5m/s for 10s and

then it moves with a constant velocity for 4s. Later it slows down and comes to rest in 5s. Draw the velocity graph for the motion of the body and answer the following questions. b. What is the distance travelled during this period of acceleration?

a. What is the maximum velocity attained by the body?

c. What is distance travelled when the body was moving with constant velocity?

d. What is the retardation of the body while slowing down? e What is the distance travelled by retarding?​

Answer 1

Explanation:

V=at

⇒8=a10

⇒a=0.8m/s

2

V

2

=U

2

+2as

⇒U=8

2

+2×a64

⇒a=

2×64

−64

=−0.5m/s

2

Distance travelled= Area of graph

⇒584=

2

1

×10×8+8×t

1

+

2

1

×16×8

⇒584=40+8t

1

+64

⇒8t

1

=480

⇒t

1

=60

Total time= 10+60+16=86s