The period T and length of a simple pendulum is connected by T=2π√L/g. what function of T and L would you plot to show a linear relationship for this expression?
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Ответ:
(a) The ball has a final velocity vector
with horizontal and vertical components, respectively,
The horizontal component of the ball's velocity is constant throughout its trajectory, so
, and the horizontal distance x that it covers after time t is
It lands 103 m away from where it's hit, so we can determine the time it it spends in the air:
The vertical component of the ball's velocity at time t is
where g = 9.80 m/s² is the magnitude of the acceleration due to gravity. Solve for the vertical component of the initial velocity:
So, the initial velocity vector is
which carries an initial speed of
and direction θ such that
(b) I assume you're supposed to find the height of the ball when it lands in the seats. The ball's height y at time t is
so that when it lands in the seats at t ≈ 6.38 s, it has a height of