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qz1sol_3885f10

qz1sol_3885f10 - a When is the particle’s velocity zero...

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TA: Tomoyuki Nakayama Monday, August 30, 2010 PHY 2048: Physic 1, Discussion Section 3885 Quiz 1 (Homework Set #1) Name: UFID: Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator. You need to show all of your work for full credit. ________________________________________________________________________________ The position of a particle is given by x = 5+12 t – 4 t 3 , where x is in meters and t is in seconds. a) When is the particle’s velocity zero?
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Unformatted text preview: a) When is the particle’s velocity zero? The velocity of the particle is given by the time derivative of the position function. v = 12 – 12t 2 Setting the velocity to be zero, we solve the equation for t. 12 – 12t 2 = 0 ⇒ t = 1 s b) When is the particle’s acceleration zero? The time derivative of the velocity function yields the acceleration of the particle. a = -24t Set the acceleration to be zero and solve for t. -24t = 0 t = 0...
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