Question

At what initial speed must the basketball player in the figure throw the ball, at angle θ₀ = 40° above the horizontal, to make the foul shot? The horizontal distances are d₁ = 0.9 ft and d₂ = 15 ft, and the heights are h₁ = 7.9 ft and h₂ = 10 ft.

Number

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Units

Choose the answer from the menu in accordance to the question statement This answer has no units° (degrees)mkgsft/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times

Answer 1

t = $\Delta$x / y

t = (15 - 0.9) / Vo*cos(40)

t = 14.1 ft / Vo*cos(40)

Using kinamatic equation

$\Delta$y = Vot + 0.5gt^2

2.1 ft = Vosin(40)*14.1 ft / Vo*cos(40) + (0.5*-32 ft/s^2*(14.1 ft / Vo*cos(40))^2)

-9.73 = - 5420.64 / Vo^2

Vo = 23.6 ft/s