Show that the maximum height and range of a projectile are u²sin²ø/2g and 4²sin2ø/g
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Answer:
ux=ucosθax=0
uy=usinθay=−g
atmax.height
Vg=0
⇒0−usinθ=gt
⇒t=
g
usinθ
∴H=ugt−
2
1
ayt
2
⇒H=
g
usinθ
.usinθ−
2
1
×g×
g
2
u
2
sin
2
θ
∴H=
2g
u
2
sin
2
θ
Whenballcomestogoundt=
g
dusinθ
∴Range=u
x
.T+
2
1
a×T
2
=ucosθ×
g
2usinθ
∴Range=
g
u
2
sin
2
θ
Explanation:
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