MULTISTEP, APPROXIMATION In the text, we calculated the
Chapter , Problem 95(choose chapter or problem)
MULTISTEP, APPROXIMATION In the text, we calculated the range for a projectile that lands at the same elevation from which it is fired as if the effects of the air resistance are negligible. (a) Show that for the same conditions the change in the range for a small change in launch speed, and the same initial angle and free-fall acceleration, is given by _R/R _ 2_v0/v0. (b) Suppose a projectiles range was 200 m. Use the formula in Part (a) to estimate its increase in range if the launch speed were increased by 20.0%. (c) Compare your answer in (b) to the increase in range by calculating the increase in range directly from . If the results for Parts (b) and (c) are different, is the estimate too small or large, and why?
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