Derive the formulae for the range and height of a body launched with velocity v at an angle 0 to the x-axis. b) Give two different examples where you might find such a uniform force field. What is the acceleration on the body in each example? c) Consider a projectile launched on the surface of the Earth. How fast does its initial velocity need to be before the assumption of a uniform force field in part a) becomes invalid? (Assume a launch angle of 45°) Exnlain your answer

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Question 1.
a) Consider a uniform force field where the force acting on a body has the same magnitude
everywhere, pointing in the same direction (along the y-axis).
Derive the formulae for the range and height of a body launched with velocity v at an angle 0 to
the x-axis.
b) Give two different examples where you might find such a uniform force field. What is the
acceleration on the body in each example?
c) Consider a projectile launched on the surface of the Earth. How fast does its initial velocity
need to be before the assumption of a uniform force field in part a) becomes invalid? (Assume a
launch angle of 45°). Explain your answer.
(Hint: you will probably need to account for the horizon on Earth).
Transcribed Image Text:Question 1. a) Consider a uniform force field where the force acting on a body has the same magnitude everywhere, pointing in the same direction (along the y-axis). Derive the formulae for the range and height of a body launched with velocity v at an angle 0 to the x-axis. b) Give two different examples where you might find such a uniform force field. What is the acceleration on the body in each example? c) Consider a projectile launched on the surface of the Earth. How fast does its initial velocity need to be before the assumption of a uniform force field in part a) becomes invalid? (Assume a launch angle of 45°). Explain your answer. (Hint: you will probably need to account for the horizon on Earth).
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