An athlete participates in a discus the à Moving to another question will save t

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An athlete participates in a discus the à Moving to another question will save this response Question 14 of 20 Question 14 5 points An athlete participates velocity of 20 m's at an angle of 30" above the horizental s in a discus throw competition during an Olympiad that takes place in a city where acceleration due to gravity is 9.7 mas2 He throws the discus with an intial Neglecting the height of the discus at the point of release, what is the range of the discus b.60 m 35.7 08. 40 m Moving to another question well save this response Question 14 of 20

Explanation / Answer

Solution-

The trajectory of a projectile is given as
y = y + x·tan - g·x² / (2v²·cos²)
y, y - cab be ignore
x is unknown
is 30º
g is 9.7m/s²
v = 20m/s
0 = 0 +x·tan30 - 9.7m/s²·x²/(2·(20m/s)²·cos²30)
0 = 0.577x - 0.016x² = (0.577 - 0.016x)·x
x= 0
x= 0.577 / 0.016

= 35.7 m

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