Question

I need help with these questions :
(see image)
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Answer 1

I think it's letter b.

correct me if my answer is wrong.

Answer 2

Hey There!

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Answer:

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DATA:

Initial velocity =
`V_0 = 50(m)/(s)`

Height = H = 100 m

Acceleration due to gravity = g = 10 m/s^2

Time of flight = ?

Angle of projection= θ(theta) = ?

Range attained = ?

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A) The Relation between Height and Total time of flight is given by,

`T = 2(\sqrt(2H)/(g))\\\\T = 2( \sqrt(2x100)/(10))\\\\T = 2(\sqrt(200)/(10))\\\\T = 2(4.47)\\\\T = 8.94 seconds`

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B) Total time of flight is given by,

`H = (V_0^2Sin^2(theta))/(2g)\\\\100 x2x10 = 50^2Sin^2(theta)\\\\2000 = 2500Sin^2(theta)\\\\(2000)/(2500) = Sin^2(theta)\\\\Sin^2(theta)= (4)/(5)\\\\`

Square root on both sides,

`Sin(theta) = (2)/(√(5))\\\\theta = Sin^(-1)((2)/(√(5) ))\\\\theta = 63.4 degrees`

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C) The range attained is given by,

`R = (V_0^2)/(g) xSin2(theta)\\\\R = (50^2)/(10) x Sin(2x63.4)\\\\R = 250 x 0.8\\\\R = 200meters`

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Best Regards,

'Borz'