An athlete participates in a discus throw competition during an Olympiad that takes place in a city where acceleration due to gravity is 9.80 m/s². He throws the discus with an initial velocity of 20.0 m/s at an angle of 30.0° above the horizontal. Neglecting the height of the discus at the point of release, what is the range of the discus? A) 35.3 m B) 20.4 m C) 40.0 m D) 60.0 m E) 50.0 m

Question

Quizplus · Accepted Answer

The range of the discus is given by:$$R = \frac{v_0^2 \sin 2	heta}{g}$$where:$$v_0$$ is the initial velocity of the discus$$	heta$$ is the angle of projection$$g$$ is the acceleration due to gravitySubstituting the given values into the equation, we get:$$R = \frac{(20.0 \ m/s)^2 \sin 2(30.0^\circ)}{9.80 \ m/s^2} = 35.3 \ m$$Therefore, the range of the discus is 35.3 m.

An Athlete Participates in a Discus Throw Competition During an Olympiad