Joe is competing in the long jump at state track and field. He leaves the ground with an initial velocity of 11.0 m/s at an angle of 23 degrees above the horizontal. Joe is in the air for 0.78 seconds. How will Joe rank if the athlete before him is currently in first place with a jump of 12.2 m?

Joe will be ranked in the second place.

Explanation:

Using the formula of range of a projectile,

R = U²sin2Ф/g Equation 1

where, R = Range, U = Initial velocity, Ф = angle of projectile, g = acceleration due to gravity.

Given: U = 11 m/s, Ф = 23°, g = 9.8 m/s²

Substitute these values into equation 1

R = 11²sin(2×23)/9.8

R = 121sin46/9.8

R = 121(0.7193)/9.8

R = 87.0353/9.8

R = 8.88 m

Hence, Joe will be ranked in the second place.

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