- #1

chwala

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- Homework Statement
- See attached

- Relevant Equations
- ##s=vt##

Find the problem and the solution below;

Find my approach to the problem.

Considering the motion of the car;

##v=u+at##

##33.333= 26.6667+30a##

##a=0.2222##

Therefore it follows that,

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

##s##=##(26.67 ×30 +(0.5×0.222×30^2)##

##s=900##metres

The distance that car has to cover in order to overtake the truck is given by

##s= 35+10+4=49##metres

Therefore we shall have, ##900-49= 851## metres

Now considering the distance covered by the truck in ##30## seconds, we shall have

##s=vt##

##s=26.67×30=800.1##metres

Therefore the gap between the car and the truck will be ##851-800.1=51.1##metres.

Any other approach highly appreciated.

Considering the motion of the car;

##v=u+at##

##33.333= 26.6667+30a##

##a=0.2222##

Therefore it follows that,

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

##s##=##(26.67 ×30 +(0.5×0.222×30^2)##

##s=900##metres

The distance that car has to cover in order to overtake the truck is given by

##s= 35+10+4=49##metres

Therefore we shall have, ##900-49= 851## metres

Now considering the distance covered by the truck in ##30## seconds, we shall have

##s=vt##

##s=26.67×30=800.1##metres

Therefore the gap between the car and the truck will be ##851-800.1=51.1##metres.

Any other approach highly appreciated.

Last edited: