A football is kicked with a speed of 18 m/s at an angle of 65 degrees to the hor

Question

A football is kicked with a speed of 18 m/s at an angle of 65 degrees to the horizontal
A) what are the respective horizontal and vertical components of the initial velocity of the football ?
B) how long is the football in the air ? Neglect air resistance
C) how far does the football travel horizontally before it hits the ground? A football is kicked with a speed of 18 m/s at an angle of 65 degrees to the horizontal
A) what are the respective horizontal and vertical components of the initial velocity of the football ?
B) how long is the football in the air ? Neglect air resistance
C) how far does the football travel horizontally before it hits the ground?
A) what are the respective horizontal and vertical components of the initial velocity of the football ?
B) how long is the football in the air ? Neglect air resistance
C) how far does the football travel horizontally before it hits the ground?

Explanation / Answer

a) horizontal component= vx= v cos(theta) = 18* cos(65) = 7.6 m/s

vertical component= vy= v sin(theta) = 18* sin(65) = 16.31 m/s

b) from vertical component we can find the time to reach the maximum height

the time of flight will be 2 time of it

so , at top vertical velocity =0

so we have,

0 = 16.31 -9,8t

=> t= 1.66 m

so time of flight= 1.66 * 2= 3.32 secs

c) horzontal distance= vx* t= 7.6 m/s * 3.32 secs= 25.23 m

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