Solve

Guides

0

You visited us 0 times! Enjoying our articles? Unlock Full Access!

Question

A train moves from one station to another in $2$ hours time, its speed during the motion is shown in graph above. The maximum acceleration during the journey and distance covered during the time interval from $0.75$ hour to $1.00$ hour are

$60 k m {h r}^{- 2}, 100 k m$
$160 k m {h r}^{- 2}, 10 k m$
$10 k m {h r}^{- 2}, 10 k m$
$260 k m {h r}^{- 2}, 1 k m$

A

160 k m {h r}^{- 2}, 10 k m

B

10 k m {h r}^{- 2}, 10 k m

C

260 k m {h r}^{- 2}, 1 k m

D

60 k m {h r}^{- 2}, 100 k m

Open in App

Solution

Verified by Toppr

Maximum acceleration will occur in the region with maximum slope.
From the given curve region CD is having the maximum curve.
Thus, maximum acceleration $= \frac{c h a n g e i n v e l o c i t y}{c h a n g e i n d i s t a n c e} = \frac{60 - 20}{0.25} = 160$
Now, total area under the curve between 0.75 to 1.00 hrs is given by
$(\frac{1}{2} \times 0.25 \times 40) + (20 \times 0.25) = 10 k m$

Was this answer helpful?

23

Similar Questions

Q1

A train moves from one station to another in

2

hours time, its speed during the motion is shown in graph above. The maximum acceleration during the journey and distance covered during the time interval from

0.75

hour to

1.00

hour are

View Solution

Q2

A train moves from one station to another in two hours time it's speed during the motion. determine the maximum acceleration during the whole journey. also calculate the distance covered during the time interval from 0.75 to 1 hr.

View Solution

Q3

Distance between two stations Vizag and Bangalore is 780 km. A train covers the journey from Vizag to Bangalore at 86 km per hour and returns back to Vizag with a uniform speed of 65km per hour. Find the average speed of the train during the whole journey?

View Solution

Q4

A man covers a journey by car in

3

hours. He covers a distance of

64 k m

324 m

during the first hour,

58 k m

56 m

during the second hour and

62 k m

8 m

during the third hour. What is the length of his journey?

View Solution

Q5

Progressive express left for New Delhi, increasing its speed in each hour. It started its journey from Lucknow, but after four hours of its journey, it met with an accident. Its speed in the fourth hour was $\frac{7}{5}$ times that of the third hour and the speed in the third hour was $\frac{10}{7}$ times that of the second hour and in the second hour it was $\frac{7}{5}$ times that of the first hour. If it had travelled with half of the speed of the third hour during the whole time, then it would have gone 160 km less in the same time (i. e. , in four hours). The average speed of the train during the journey of 4 hours was:

View Solution