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Chapter 2: Problem 2
Does a speedometer measure speed or velocity?
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A rocket starts from rest and rises with constant acceleration to a height \(h\), at which point it's rising at speed \(v\). Find expressions for (a) the rocket's acceleration and (b) the time it takes to reach height \(h\).
You and your friend are throwing two identical balls straight up in the air. What are the parameters that determine the heights up to which the balls reach? What are the velocities of the balls when they reach the maximum height?
A 2016 study found that snakes' heads, when striking, undergo average accelerations of about \(40 \mathrm{~m} / \mathrm{s}^{2}\), for a period of about \(50 \mathrm{~ms}\). Using these values, find (a) the maximum speed of the snake's head and (b) the distance the head travels during the strike. Give your answers to one significant figure.
Ice skaters, ballet dancers, and basketball players executing vertical leaps often give the illusion of "hanging" almost motionless near the top of the leap. To see why this is, consider a leap to maximum height \(h\). Of the total time spent in the air, what fraction is spent in the upper half (i.e., at \(y>\frac{1}{2} h\) )?
A balloon is rising at \(10 \mathrm{~m} / \mathrm{s}\) when its passenger throws a ball straight up at \(12 \mathrm{~m} / \mathrm{s}\) relative to the balloon. How much later does the passenger catch the ball?
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