1. A projectile is launched from the ground with an initial velocity of 140ms¹ at an angle of 8 above the horizontal, as shown in the diagram below. Assume air resistance is negligible and the ground is level. 140 m s 0 (a) On the diagram above, show clearly how the horizontal component of velocity , is added to the vertical component of velocity vy to give the initial velocity vector. (b) The time of flight of the projectile is measured as 18.7s and its range is 1.98 x 10³ m. Show that the launch angle that results in this range is approximately 41º. (c) (i) State the other launch angle that would results in the same range for this projectile. (ii) State and explain the effect of this different launch angle on the time of flight of the projectile.
1. A projectile is launched from the ground with an initial velocity of 140ms¹ at an angle of 8 above the horizontal, as shown in the diagram below. Assume air resistance is negligible and the ground is level. 140 m s 0 (a) On the diagram above, show clearly how the horizontal component of velocity , is added to the vertical component of velocity vy to give the initial velocity vector. (b) The time of flight of the projectile is measured as 18.7s and its range is 1.98 x 10³ m. Show that the launch angle that results in this range is approximately 41º. (c) (i) State the other launch angle that would results in the same range for this projectile. (ii) State and explain the effect of this different launch angle on the time of flight of the projectile.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:1. A projectile is launched from the ground with an initial velocity of 140ms¹ at an angle of above the
horizontal, as shown in the diagram below. Assume air resistance is negligible and the ground is level.
140 m s
0
(a) On the diagram above, show clearly how the horizontal component of velocity H is added to the
vertical component of velocity vyto give the initial velocity vector.
(b) The time of flight of the projectile is measured as 18.7s and its range is 1.98 x 10³ m.
Show that the launch angle that results in
range is approximately 41º.
(c) (i) State the other launch angle that would results in the same range for this projectile.
(ii) State and explain the effect of this different launch angle on the time of flight of the projectile.
and to nob
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