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Homework Statement
Only (b) part[/B]
Homework Equations
time of flight= (2⋅u⋅sinθ)/g   1
total distance (range)= u⋅cosθ * time of flight (s=vt)
=u⋅cosθ * (2⋅u⋅sinθ)/g  2
=u^{2}⋅2sinθcosθ/g
= u^{2}⋅sin2θ/g  3
The Attempt at a Solution
[/B]
Rather than using equation 3, I decided to use 2, as 3 is just 2 simplified.
Distance= u⋅cosθ * (2⋅u⋅sinθ)/g
= (60*cos30°)*(2*60*sin30°)/10
= (60*(√3/2))*(2*60*(1/2))/10
=(30*60√3)/10
=180√3 metres
However by equation 3,
Distance= u^{2}⋅sin2θ/g
= 3600*(sin30°)^{2}/10
= [3600*(1/4)]/10
= 900/10= 90 metres.
Where is the error please tell me!
THank you for reading.
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