Question

Interpret the following graph and answer the following -

a) Find acceleration between
A to B
B to C
C to D

b) the average speed for the complete journey (1 to 7 second)

Answer 1

Interpret the following graph and answer the following-

a) Find acceleration between

1) A to B

$:\implies \sf \dfrac{Distance(AB) }{Total \: time (AM)}$

$:\implies \sf \dfrac{20 }{3 }$

$:\implies \sf 6.7m/s ^{2}$

2) B to C

$:\implies \sf \dfrac{Distance(BC) }{Total \: time (MN)}$

$:\implies \sf \dfrac{0}{1 }$

$:\implies \sf {0}$

3) C to D

$:\implies \sf \dfrac{Distance(CD) }{Total \: time(MD) }$

$:\implies \sf \dfrac{20}{1 }$

$:\implies \sf 20m/s ^{2}$

____________________

b) the average speed for the complete journey (1 to 7 second)

We know that ,

$\sf :\implies Average \: speed = \dfrac{Total \: distance}{Total \: time}$

Method 1 :- firstly we will divided it into three parts as shown in the attachment

In 1st case AMB

$\sf :\implies Area = \dfrac{1 }{2 } \times Base \times Height$

$\sf :\implies Area = \dfrac{1 }{2 } \times 3 \times 20$

$\sf :\implies 30$

In 2nd case BCMN

$\sf :\implies Area = Length \times Base$

$\sf :\implies Area = 20 \times 2$

$\sf :\implies 40$

In 3rd case CDN

$\sf :\implies Area = \dfrac{1 }{2 } \times Base \times Height$

$\sf :\implies Area = \dfrac{1 }{2 } \times 1 \times 20$

$\sf :\implies 10$

now it is given to us that the time is 1 to 7 secondHence ,

Time = 6 sec

Total speed = 30+40+10 = 80

$\sf :\implies Average \: Speed = \dfrac{80 }{6 }$

$\sf :\implies Average \: Speed = \dfrac{40 }{3 }$

$\sf :\implies Average \: Speed = 13.3 \bar{3} \: m$

____________________

Method 2 :-Area of trapezium = ABCD

$\sf :\implies Area = \dfrac{1 }{2 } \times (BC + AD) \times AB$

$\sf :\implies Area = \dfrac{1 }{2 } \times (2 + 6) \times 20$

$\sf :\implies Area = \dfrac{1 }{2 } \times 8 \times 20$

$\sf :\implies Area = 80$

now it is given to us that the time is 1 to 7 second

Hence ,

Time = 6 sec

Total speed = 80

$\sf :\implies Average \: Speed = \dfrac{80 }{6 }$

$\sf :\implies Average \: Speed = \dfrac{40 }{3 }$

$\sf :\implies Average \: Speed = 13.3 \bar{3} \: m$

Answer 2

Answer:

Interpret the following graph and answer the following -

a) Find acceleration between

A to B

B to C

C to D

b) the average speed for the complete journey (1 to 7 second)

Explanation:

above one is correct