An olympic long jumper leaves the ground at an angle of23degress and travels through the air for a horizontal distance of8.7m before landing what is the take off speed? Could you kindlyassist me?

arenceabigns

arenceabigns

Answered question

2020-10-20

An olympic long jumper leaves the ground at an angle of23degress and travels through the air for a horizontal distance of8.7m before landing what is the take off speed? Could you kindlyassist me?

Answer & Explanation

Cristiano Sears

Cristiano Sears

Skilled2020-10-21Added 96 answers

From equations of projectile motion for a level surface,
R=ν{0}2sin2ϕg
where R is the range (the horizontal distance traveled),v0 is the initial velocity, ? is the takeoff angle,and g is the acceleration due to gravity (9.81 m/s)
Rearranging this equation to solve for v0 youget
ν0=Rgsin2ϕ
Inserting the given info, v0 = 10.9 m/s

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