4 1718 41ft-9inch Samantha has the opportunity to win 1 million dollars by sinki

Question

4 1718 41ft-9inch Samantha has the opportunity to win 1 million dollars by sinking a half court shot. She can shoot the basketball with a speed of 45.2 ft/s These problems do not have to be written out for your portfolio NOTESIMAGES DISCUSS UNITS STATS HELP Part Description Answer Chk History Determine the angle that Samantha needs to shoot the basketball to win the 1 million dollars in the shortest amount of time (include units with answer) 5.5 pts. 11096 12% try penalty Hints: 1,0 A. Format # tries: 0 Show Details Check Samantha now gets to go double or nothing on the 1 million dollars if she can sink a second half court shot by shooting the ball with the same speed but a different angle Detemine the second angle that will make a basket. (include units with answer) 5.5 pts. 11096 | 2% try penalty Hints: 0,0 Format # tries: 0 Show Details Check

Explanation / Answer

here,

y1 = 6 ft = 1.83 m

y2 = 10 ft = 3.04 m

initial speed , u = 45.2 ft/s = 13.72 m/s

x = 41 ft = 12.5 m

let the angle with horizontal be theta

using equation of trajectory

(y2 - y1) = x * tan(theta) - g * x^2 /( u^2 * cos^2(theta))

( 3.04 - 1.83) = 12.5 * tan(theta) - 9.81 * 12.5^2 /( 2*13.72^2 * cos^(theta))

solving for theta

theta = 68.7 degree

the angle is 68.7 degree

b)

for the same range

the seccond angle , phi = 90 - theta = 21.2 degree

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