Golf Ball Projectile Motion Problem -- Solved

[Undeterred247]

Homework Statement

After a golf ball is hit it takes off with an initial speed of 26.6 m/s and at an angle of 36.5° with respect to the horizontal. The golf field is flat and horizontal. A) Neglecting air resistance how far will the golf ball fly? B) How high will the golf ball rise? C) How much time will the ball spend in the air? D) How far would the ball fly if the initial speed was doubled? E) How much time would the ball spend in the air in this second case? Thanks

Relevant Equations

Range = 2v0*cosθ * (v0sinθ)/g = (v0^2)/g *sin2θ

26.6m/s = v0
36.5º = θ
g = 9.81m/s^2

A) Find Range:
(v0^2)/g *sin2θ = (26.6^2)/9.81 * sin2(36.5)
= 89.99

I double-checked with the other Range equation (2v0*cosθ * (v0sinθ)/g) so I know I'm doing something wrong. Please help! Thank you

edit: A) Correct answer is 69.0

 

[kuruman]

26.6m/s = v0
36.5º = θ
g = 9.81m/s^2

Find Range:
(v0^2)/g *sin2θ = (26.6^2)/9.81 * sin2(36.5)
= 89.99

(v0^2)/g *sin2θ = (26.6^2)/9.81 * sin2(36.5) is not 89.99 unless the units are not meters but something else. What you are doing wrong is between you and your calculator.

 

[Undeterred247]

(v0^2)/g *sin2θ = (26.6^2)/9.81 * sin2(36.5) is not 89.99 unless the units are not meters but something else. What you are doing wrong is between you and your calculator.

Oh my- Thank you!