A particle is launched into the air from the ground with launch speed 8 m/s. The speed of the particle at maximum height is 4 m/s. Find a) the launch angle.  b) maximum height reached by the particle.  c) range of the particle.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: Motion In Two Dimensions
Section: Chapter Questions
Problem 44AP: A projectile is launched from the point (x = 0, y = 0), with velocity (12.0i19.0j)m/s2, at t = 0....
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i) A particle is launched into the air from the ground with launch speed 8 m/s. The speed of the
particle at maximum height is 4 m/s. Find
a) the launch angle. 
b) maximum height reached by the particle. 
c) range of the particle. 
ii) In projectile motion, what assumption makes the horizontal speed constant? 
iii) A particle rises 40 m in the first 2 s. What is its initial speed as it leaves the ground?

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