in which of the exercise and sports science do specialist study achievement motivation , arousal attribution and personality dev
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A) 13.2 m
The motion of the skier is a projectile motion, which consists of two independent motions:
- a horizontal motion with constant speed
- a vertical motion with constant acceleration (acceleration of gravity) downward
To find the maximum height of her trajectory, we are only concerned with her vertical motion.
The initial vertical velocity upward is
then we can use the following SUVAT equation:
where
is the final vertical velocity, which is zero at the maximum height
is the initial vertical velocity
h is the maximum height
Solving for h,
B) 1.64 s
The time needed to reach the highest point can be found by analyzing again the vertical motion only. In fact, we can use the following SUVAT equation:
where
At the maximum height, the vertical velocity is zero:
So we can solve the equation to find the corresponding time: