1718 41ft 9inch Samantha has the opportunity to win 1 million dollars by sinking

Question

1718 41ft 9inch Samantha has the opportunity to win 1 million dollars by sinking a half court shot. She can sho a speed of 61.3 ft/s. These problems do not have to be written out for your portfolio. NOTES IMAGES 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) 54 deg 5.39 pts. 108% # tries: 1 show Details Format Check 296 try penalty Hints: 1,0 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. 5.5 pts, 110% # tries: 0 Show Details Format Check 296 try penalty

Explanation / Answer

here,

y1 = 6 ft = 1.83 m

y2 = 10 ft = 3.048 m

initial speed , u = 61.3 ft/s = 18.7 m/s

Range , x = 41 ft 9 inch = 12.7 m/s

let the time taken to reach basket be t

(y1 - y2) = u * sin(theta) * t - 0.5 * g * t^2

(3.048 - 1.83) = 18.7 * sin(theta) * t - 0.5 * 9.81 * t^2 ....(1)

and

x = u * cos(theta) * t

12.7 = 18.7 * cos(theta) * t ....(2)

from (1) and (2)

theta = 79.4 degree

t = 3.68 s

a)

the angle theta is 79.4 degree

b)

the seccond angle , theta1 = 90 - theta = 10.6 degree

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