A football is kicked at ground level with a speed of 35.0 m/s at an angle of 37.0° to the horizontal. How much later does it hit the ground?
I found the distance traveled but not the time spent in the air
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Verified answer
The motion of football consists in a horizontal component of uniform motion:
x=vx t where vx=35 cos(37°)=27.95 m/sec
and a vertical component of accelerated motion
y=-1/2gt^2+vyt+y0
y0=0
g=9.81 m/s^2
vy=35 sin(37)=21.06 m/s
When the football arrived on the ground y=0
0=-0.5 9.81 t^2+21.06t
4.905t^2-21.06t=0 second degree equation without known term
t(4.905t-21.06)=0
the first solution is t=0s. It is impossible!
the second solution is t=21.06/4.905; t=4,29 sec time spent in air from the football
For the horizontal distance, you can take x=vx t:
x=27.95 4,29
x=119,90 m
Wouldn't you also need the weight of the ball or something?
Or do you just need to assume the weight?
Or am I stupid beyond belief?
Oh, well.