Daring Darless wishes to cross the Grand Canyon of the Snake

Daring Darless wishes to cross the Grand Canyon of the Snake River by being shot from a cannon. She wishes to be launched at 60 degree relative to the horizontal so she can spend more time in the air waving to the crowd. With what speed must she be launched to cross the 520-m gap

Solution

the time of flight is,

t = y/v_0x

2v₀sin@/g = y/v₀cos@

hence, the speed is calculated as follows:

2v₀² sin 60*cos60/9.8 = 520

then, the speed is, v₀ = 76.71 m/s