my professor gave us these two problems to try. I just started this physics class and am a little lost on these problems. any help/ hints would be greatly appreciated.(adsbygoogle = window.adsbygoogle || []).push({});

1) A particle moves along the x-axis according to the equation,

x(t)=50t + 10t^2(squared)

where t is measured in seconds and x is in meters. Calculate (a) the average velocity of the particle during the first 3.0 seconds of its motion, (b) the instantaneous velocity of the particle at t = 3 s, (c) the instantaneous acceleration at t = 3 s. (d) Graph the equation and indicate how the answer to (a) and (b) can be obtained from the plot. (e) While you are at it, graph velocity vs. time as well.

2) The starship enterprise returns from warp drive to ordinary space with a forward speed of 50 km/s. To the crew’s shocking surprise, a Klingon ship is 100 km directly ahead, traveling in the same direction at a measly 20 km/s. Without evasive action, the Enterprise will overtake and collide with the Klingons in just slightly over 3.0 s. The Enterprise’s computers react instantly to brake the ship. What acceleration does the Enterprise need to just barely avoid a collision with the Klingon ship? Assume the acceleration is constant.

Thanks.

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# Homework Help: Calculate (a) the average velocity of the particle

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