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the place kicker on a football team kicks a ball from ground level with an initi

ID: 1326133 • Letter: T

Question

the place kicker on a football team kicks a ball from ground level with an initial speed of 8.20 m/s at an angle of 23 degrees above the horizontal. how long is the ball in the air before it lands on the ground again? the place kicker on a football team kicks a ball from ground level with an initial speed of 8.20 m/s at an angle of 23 degrees above the horizontal. how long is the ball in the air before it lands on the ground again? the place kicker on a football team kicks a ball from ground level with an initial speed of 8.20 m/s at an angle of 23 degrees above the horizontal. how long is the ball in the air before it lands on the ground again?

Explanation / Answer

Initial Vertcal Velocity = 8.2 * sin(23 degree) m/s
Initial Vertcal Velocity = 3.2m/s
Acceleration = 9.8 m/s^2 (Downward)

Time taken to reach max height -
Velocity at max height = 0
V = u + a*t
0 = 3.2 - 9.8 * t
t1 = 0.33 s

Max heght reahed =
u^2 = 2*g*h
h = 3.2^2 / (2*9.8)
h = 0.522 m

Now, Ball starts falling down -
Inital Velocity = 0
Height = 0.522 m

S = 0.5 *9.8 t^2
t2 = sqrt(0.522 / 4.9)
t2 = 0.33 s

Total time ball is in air = t1+t2
Total time ball is in air = 0.33 + 0.33 =
Total time ball is in air = 0.66s