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.

College Physics
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Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 39AP: A rocket is launched at an angle of 53.0 above the horizontal with an initial speed of 100. m/s. The...
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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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