a lovesick lad wants to throw a bag of candy and love notes into the open window of his friends bedroom 10m above he throws the gift at 60 degrees to the ground: at wht velocity should he throw the bag?
@ParthKohli
Let's assume that the velocity is \(x\). What is the vertical velocity of the bag of candy?
You know what "vertical velocity" means, yes?
yes i do know wht it means :P we r not given any velocity
Yes, assume the velocity as a variable.
If the velocity is \(x\), then the vertical velocity is \(v\sin(60^{\circ})\)
Now, do you know what the max height is, in a projectile?
in general ?\or about that q;?
In general... we'll apply that to the question.
no
Let's derive that for a vertical motion.
\[v^2 = u^2 - 2gH\]Now, in vertical motion, the max height is when \(v = 0\).\[0^2 = u^2 - 2gH \Rightarrow H_{max} = \dfrac{u^2}{2g}\]
So, the max height is\[\dfrac{u^2}{2g}\]Now, what is the initial vertical velocity?
And what is the max height this projectile covers?
2*9.8
?
\[H_{\large max}=\dfrac{u^2}{2g}\]
\[H_{\rm max}= 10~ m\]\[u= x\sin(60^{\circ})\]Plug that into the formula.
i got 12
\[200 = \dfrac{3}{4}x^2\]
wht??
Hmm, let's solve it.\[10 = \dfrac{\left(x\dfrac{\sqrt{3}}{2}\right)^2}{2\times 9.8}\]
Get it?
nop, u just lost me with the above fraction
3/2 ??????? where is that from?
\[u = x\sin(60) = x \dfrac{\sqrt3}{2}\]
how did u get 3/2?
\[\sin(60 ) = \frac{\sqrt{3}}{2}\]
oh ook....
i got 258?
Find the root of that.
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