Question

1. I kick a puck of mass m up an incline (angle $\theta$) with initial speed $v_0$. There is friction between the puck and the incline (coefficient $\mu$) and air resistance with magnitude $f(v) = cv^2$. (a) Write down Newton's second law for the upward portion of the puck's motion. (b) Integrate your equation in part (a) to obtain the puck's velocity as a function of t on the upward journey. You may look up any integrals you might need but be sure to quote your source. How long does the upward journey take? (c) Integrate your equation in part (b) to obtain the puck's position as a function of t on the upward journey. You may look up any integrals you might need but be sure to quote your source. How far up the incline does the puck travel?

          1. I kick a puck of mass m up an incline (angle $\theta$) with initial speed $v_0$. There is friction between the puck and the incline (coefficient $\mu$) and air resistance with magnitude $f(v) = cv^2$.
(a) Write down Newton's second law for the upward portion of the puck's motion.
(b) Integrate your equation in part (a) to obtain the puck's velocity as a function of t on the upward journey. You may look up any integrals you might need but be sure to quote your source. How long does the upward journey take?
(c) Integrate your equation in part (b) to obtain the puck's position as a function of t on the upward journey. You may look up any integrals you might need but be sure to quote your source. How far up the incline does the puck travel?

1. I kick a puck of mass m up an incline (angle θ) with initial speed v0. There is friction between the puck and the incline (coefficient μ) and air resistance with magnitude f(v) = cv^2.
(a) Write down Newton's second law for the upward portion of the puck's motion.
(b) Integrate your equation in part (a) to obtain the puck's velocity as a function of t on the upward journey. You may look up any integrals you might need but be sure to quote your source. How long does the upward journey take?
(c) Integrate your equation in part (b) to obtain the puck's position as a function of t on the upward journey. You may look up any integrals you might need but be sure to quote your source. How far up the incline does the puck travel?

Added by Heather G.

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