Question

A particle moves along the x− axis in such a way that its acceleration at time t for t>0 is given a (t)=3t/2. When t=1, the position of the particle is 6 and the velocity is 2.
(a) Write an equation for the velocity, ν(t), of the particle for all t>0.

(b) Write an equation for the position, x(t), of the particle for all t>0.

(c) Find the position of the particle when t=e. Give an exact answer.

each part has a separate answer!!!!

Answer 1

Answer:

A because

A particle moves along the x-axis so that at time t ≥ 0 its position is given by x(t)=2t^3−9t^2−60t+4. What is the total distance traveled by the particle over the time interval 0≤t≤7 ?

Step-by-step explanation:

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