Consider an object projected from the ground with speed u at an angle of 0 upwards. It reaches a maximum height of H at tH and hits the ground at time t. (a) Obtain an expression in terms of u and 0 for (i) the object's time of flight t, (ii) the time taken for the object to reach its maximum height tH and. (iii) the object's horizontal displacement R. (b) Using your answer in (a)(iii), show that a maximum horizontal displacement is achieved when 0 = 45°. (Hint: sin 20 = 2 sin e cos 0)

Consider an object projected from the ground with speed u at an angle of 0 upwards. It reaches a maximum height of H at tH and hits the ground at time t. (a) Obtain an expression in terms of u and 0 for (i) the object's time of flight t, (ii) the time taken for the object to reach its maximum height tH and. (iii) the object's horizontal displacement R. (b) Using your answer in (a)(iii), show that a maximum horizontal displacement is achieved when 0 = 45°. (Hint: sin 20 = 2 sin e cos 0)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 56P: Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a...

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