Question

Nikita completed a journey from a place A to another place B by her car. The given graph shows the speed variations with time over the journey. The average speed between 10: 15 am is 11: 05 am

Answer 1

Answer:

a)6.00ms-1

b)6.24ms-1

c)6.50ms-1

d)6.75ms-1

Explanation:

distance:Area 1× (2+6)×15mins+6×10mins

2

+6×10mins+1 ×(6+10)×20mins

2

+1 ×(10+3)×5m/m

(x(1×8×15)+(6×10)+(1 ×16×20)+1×(18×5)×60

2

=(60+60+(60+45)×60

=19500

mins =50mins =50×60

speed=19500=6.5mins

50×60

Answer 2

Given :  Nikita completed a journey from a place A to another place B by her car. The given graph shows the speed variations with time over the journey.

To Find :  The average speed between 10: 15 am is 11: 05 am

Solution:

The average speed between 10: 15 am is 11: 05 am

Distance covered between  10: 15 am is 11: 05 am / Time between (11 : 05 - 10 : 15 )

time = 50 mins

Area = (1/2) (2 + 6) * 15   + 6 * 10  + (1/2)(6 + 10)20 + (1/2)(10 + 8)5

=  60 + 60 + 160 + 45

= 325

Average speed  = 325/50

= 6.5  m/s

The average speed between 10: 15 am is 11: 05 am  = 6.5  m/s

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