1 Answer

Tomaso Albinoni · Answer 1 · 2024-09-18T16:10:54+0000

Answer:

15.33 m/s

Step-by-step explanation:

We are here given that ,

As we know that,

$\longrightarrow R = (u^2\sin2\theta)/(g) \dots (1)\\$

And ,

$\longrightarrow h =(u^2\sin^2\theta)/(2g) \dots (2)\\$

Divide equation 1 and 2 ,

$\longrightarrow (R)/(h)=(4 \cos\theta)/(\sin\theta) \\$

$\longrightarrow (24m)/(6m)=4 \cot\theta \\$

$\longrightarrow \cot\theta = 1 \\$

$\longrightarrow \theta = \cot^(-1)(1) \\$

$\longrightarrow \underline{\underline{\theta = 45^(\circ)}}\\$

Now we may substitute this value in equation 1 as ,

$\longrightarrow 24 =( u^2\sin(2* 45^(\circ) ))/(g) \\$

$\longrightarrow 24g = u^2\sin90^\circ \\$

$\longrightarrow u^2 = 24 * 9.8 \\$

$\longrightarrow u =√(235.2) m/s \\$

$\longrightarrow \underline{\underline{ u \approx 15.33 \ m/s }}\\$

and we are done!

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