Question #179359

A car initially at rest, accelerates at 7.29 m/s to the 2nd power for 11.3 s. How far did it go in this time?


1
Expert's answer
2021-04-09T06:38:48-0400

To be given in question

Car initial velocity u=0u=0

v=7.29meter/secv=7.29 meter/sec

t=11.3sect=11.3sec

To be asked in question


Distance ss =?

First law of newton motion

v=u+atv=u+at

Put value

7.29=0+a×11.37.29=0+a\times11.3

a=0.645meter/sec2meter/sec^2

second law of newton motion

s=ut+12at2s=ut+\frac{1}{2}at^2

=0+12×0.645×(11.3)2=0+\frac{1}{2}\times0.645\times(11.3)^2

s=41.19meters=41.19 meter


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