Homework Soursea imagine throwing a rock straight up in the air what is its
a) imagine throwing a rock straight up in the air. what is its initial velocity if the rock reaches a maximum height of 100 feet above its starting point?
b) now imagine being transplanted to the moon and throwing a moon rock vertically upward with the same velocity as in part (a). How high will it go? (On the moon, g = 5ft/sec^2)
b) now imagine being transplanted to the moon and throwing a moon rock vertically upward with the same velocity as in part (a). How high will it go? (On the moon, g = 5ft/sec^2)
Solution
Newton\'s laws of motion states v^2 - u^2 = 2gs v is final vel u is initial vel g is acc due to gravity s is distance Since v is 0 u^2 = 2gs So u = sqrt(2gs) = 80.2 ft/s Now, u = 80.2 v = 0 g = 5 So, s = u^2/2g = 643 ft
