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The velocity of particle is given by v=(3i+6tj)m/s,where t is time in second, the equation of trajectory of particle is(Assume ,particle starts from origin)

The velocity of particle is given by v=(3i+6tj)m/s,where t is time in second, the equation of trajectory of particle is(Assume ,particle starts from origin)

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Grade:12th Pass

2 Answers

Kimberely Belcher
31 Points
one month ago
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Heer Shah
19 Points
yesterday
Vx=3
Vy=6t
Basically for equation of trajectory we write 2 eqn for x and y direction which includes time and then we eliminate time from both equation and we get trajectory equation.
 
x=(Vx)×t=3t........(1)
dy/dt=6t
dy=6tdt 
Integrate both sides
y=6(t²/2)=3t²......(2)
 
t=x/3 from equation 1
Put it in 2nd equation
y=3(x/3)²=x²/3
 

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