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tcc88
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A particle moves along the x-axis according to the equation
x = 1.95 + 2.97t − 1.00t^2, where x is in meters and t is in seconds.
(a) Find the position of the particle at t = 3.30 s.
(b) Find its velocity at t = 3.30 s.
(c) Find its acceleration at t = 3.30 s.
I must find the instantaneous acceleration and instantaneous velocity, I already found the position were the particle is at t = 3.30 s [0.861m] but I am having trouble finding the other two. I know I must get the derivative of the equation once for velocity and twice for acceleration to find the answer to this question but I am having trouble. What would the derivative if the equation for acceleration be? Wouldn't attempting to get the derivative twice for that equation yield just a number? I just stared Calc. and for some reason my Physics class is a little ahead of my Calc. I class in Calculus concepts -_-. So please help... I know this kind of question isn't hard, I just need a little bit of guidance.
Thank You.l
x = 1.95 + 2.97t − 1.00t^2, where x is in meters and t is in seconds.
(a) Find the position of the particle at t = 3.30 s.
(b) Find its velocity at t = 3.30 s.
(c) Find its acceleration at t = 3.30 s.
I must find the instantaneous acceleration and instantaneous velocity, I already found the position were the particle is at t = 3.30 s [0.861m] but I am having trouble finding the other two. I know I must get the derivative of the equation once for velocity and twice for acceleration to find the answer to this question but I am having trouble. What would the derivative if the equation for acceleration be? Wouldn't attempting to get the derivative twice for that equation yield just a number? I just stared Calc. and for some reason my Physics class is a little ahead of my Calc. I class in Calculus concepts -_-. So please help... I know this kind of question isn't hard, I just need a little bit of guidance.
Thank You.l