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rvc
 one year ago
The motion of a particle along a straight line is governed by the relation a= t^32t+7 where a is in m/s^2 and t is time in seconds. At time t=1 the velocity of the particle is 3.58m/s and displacement is 9.39m. Calculate the displacement,velocity and acc at t=2s.
I know the formula but the calculation part is getting wrong somewhere.
rvc
 one year ago
The motion of a particle along a straight line is governed by the relation a= t^32t+7 where a is in m/s^2 and t is time in seconds. At time t=1 the velocity of the particle is 3.58m/s and displacement is 9.39m. Calculate the displacement,velocity and acc at t=2s. I know the formula but the calculation part is getting wrong somewhere.

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2you have to integrate that function in order to find the velocity v(t): \[\Large v\left( t \right) = \int {\left( {{t^3}  2t + 7} \right)dt} \]

rvc
 one year ago
Best ResponseYou've already chosen the best response.1v = \[\rm v=\frac{ t^4 }{ 4 } 2\frac{ t^3 }{ 3 }+7t+C\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2ok! now you have to substitute your condition, namely t=1 and v=3.58, so you will find the value of the constant C

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2I got this: \[\Large v\left( t \right) = \int {\left( {{t^3}  2t + 7} \right)dt} = \frac{{{t^4}}}{4}  {t^2} + 7t + C\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2after a substitution, you will get this: \[\Large 3.58 = \frac{1}{4}  1 + 7 + C\]

rvc
 one year ago
Best ResponseYou've already chosen the best response.1\[\sf 3.58=\frac{ 1 }{ 4 }\frac{ 2 }{ 3 } +7+C\]

rvc
 one year ago
Best ResponseYou've already chosen the best response.1OHHHHHHHHHHHHHHHHHHhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh i got it correctly now because i copied the question wrong

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2is a(t) like this: \[\Large a\left( t \right) = {t^3}  2t + 7\]
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