83.3k views
5 votes
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?

User Varkal
by
7.8k points

1 Answer

4 votes

Answer:

Joe will be ranked in the second place.

Step-by-step 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.

User Sam Liddicott
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.