Aparticle is moving with the given data. find the position of the particle. a(t) = 2t + 9, s(0) = 8, v(0) = −7

Rate of change of velocity with respect to time is known as acceleration.

Position of particle is given by,  

Given data are,   a(t) = 2t + 9, s(0) = 8, v(0) = −7

Since, Rate of change of velocity with respect to time is known as acceleration.

Integrating both side.

We get,  

Substituting v(0)= -7 in above equation

We get,   c = -7

So,  

Since,  

    Integrating both side

We get,  

Substituting s(0)=8 in above equation.

 We get,   c = 8

So, position of particle becomes,

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answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

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