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Daring Darless wishes to cross the Grand Canyon oh the snake river by being shot

ID: 1412520 • Letter: D

Question

Daring Darless wishes to cross the Grand Canyon oh the snake river by being shot from a cannon. She wishes to be lunched at 57 degree relative to the horizontal so she can spend more time in the air waving to the crowd.
Part A) whit what minimum sipped must she be lunched to cross the 520 m gap? Daring Darless wishes to cross the Grand Canyon oh the snake river by being shot from a cannon. She wishes to be lunched at 57 degree relative to the horizontal so she can spend more time in the air waving to the crowd.
Part A) whit what minimum sipped must she be lunched to cross the 520 m gap?
Part A) whit what minimum sipped must she be lunched to cross the 520 m gap?

Explanation / Answer

The trajectory equation:

y = h + x·tan - g·x² / (2v²·cos²)

where y = height at specified range; here y = 0 m

and h = initial height = 0 m

and x = 520 m

and = launch angle = 57º

and v = ??

0+520 tan57 - 9.8(520)² / (2v²cos²57) = 800 - 393025/v²

v = (393025 / 800) = 22 m/s