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the positon of a particle moving in a staright line along x axis varies with time t as x=12t-3t^2 m where t is in sec. the distance covered in time 5sec = ?

the positon of a particle moving in a staright line along x axis varies with time t as x=12t-3t^2 m where t is in sec. the distance covered in time 5sec = ?
 

Grade:11

1 Answers

Saurav
224 Points
4 years ago
lets find velocity time graph that is dx/dt wrt t graph 
v=12-6t
this shows paricle changes direction at t=2s
so speed vs time graph will be |12-6t|
so distance will be integration of above function from 0 to 5 which give the answer as 39m
aprove if it helps you as it motivates me to answer more 

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