Two balls are kicked with the same initial speeds. Ball A was kicked at the angle 20° above horizontal and ball B was kicked at
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The motion of the buoy is a composition of two independent motions:
- a uniform motion on the horizontal axis, with constant speed vx=50 m/s
- an uniformly accelerated motion on the vertical axis, with constant acceleration
Since we want to find the vertical displacement, we are only interested in the vertical motion.
The law of motion on the vertical direction is given by:
where
h is the initial height of the buoy
is the initial vertical velocity of the buoy, which is zero
t is the time
We know that the buoy lands after t=21 seconds, this means that the vertical position at t=21 s is y(21 s)=0. If we substitute these data into the equation, we can find the value of h, the initial height of the buoy:
And this corresponds to the vertical displacement of the buoy.
- a uniform motion on the horizontal axis, with constant speed vx=50 m/s
- an uniformly accelerated motion on the vertical axis, with constant acceleration
Since we want to find the vertical displacement, we are only interested in the vertical motion.
The law of motion on the vertical direction is given by:
where
h is the initial height of the buoy
t is the time
We know that the buoy lands after t=21 seconds, this means that the vertical position at t=21 s is y(21 s)=0. If we substitute these data into the equation, we can find the value of h, the initial height of the buoy:
And this corresponds to the vertical displacement of the buoy.
True
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