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Grade 10Mechanics

A car accelerates from rest a constant rate for first 10 sec and covers a distance of X. It covers distance y in next 10 sec at the same acceleration.

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Profile image of Lavesh
7 Years agoGrade 10
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3 Answers

Profile image of Arun
7 Years ago

y=3x

first 10 seconds:

v=u + at (u=0)

v = 10a ( t= 10)

v2 = u2 + 2as

100a2 = 2ax

x = 50a

 

2nd body

now u = 10a

v = 10a + 10a = 20a (v= u + at)

v2 = u2 + 2as

400a2 = 100a2 + 2ay

solving u get y = 150a

therefore y = 3x

Profile image of Eshan
7 Years ago
Dear student,

The statements are not given in the image. Kindly let us know the same so that we could help you with the solution.

Regards.
Profile image of NIKHIL CHOTRANI
7 Years ago

y=3x

for first 10 seconds

v=u + at (and since u=0,started from rest)

v = 10a ( till t= 10)

v2 = u2 + 2as

10a*10a = 2ax

x = 50a

2nd journey case(next 10 sec)(or from t=10sec to t=20sec)

now u = 10a

v = 10a + a*10 = 20a (v= u + at)

v2 = u2 + 2as

20a*20a= 10a*10a + 2ay

solving u get y = 150a

therefore y = 3x