Priscilla the Penguin stands at the edge of a rock ledge and tosses a small ice cube directly upward with an initial velocity of $v_0$. The ice cube’s initial height above the ground is $3.25\,\text{m}$, and it reaches its maximum height above the ground $0.586\,\text{s}$ after being thrown. The ice cube then plummets to the ground, missing the edge of the rock ledge on its way down.

Question

Priscilla the Penguin stands at the edge of a rock ledge and tosses a small ice cube directly upward with an initial velocity of $v_0$. The ice cube&#8217;s initial height above the ground is $3.25\,\text{m}$, and it reaches its maximum height above the ground $0.586\,\text{s}$ after being thrown. The ice cube then plummets to the ground, missing the edge of the rock ledge on its way down.(a) Calculate the initial speed $v_o$ of the ice cube.
, (b) Calculate the maximum height above the ground that the ice cube reaches.
, (c) Calculate the amount of time it takes the ice cube to reach the ground after Priscilla throws it.
, (d) Calculate the speed of the ice cube when it reaches the ground.
, (e) Calculate the height of the ice cube above the ground when it is traveling at $7.00\,\text{m/s}$ in the downward direction.
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Jason · Accepted Answer

5.75 m/s
4.9 m
1.59 s
9.8 m/s
2.39 m

Note answers may vary by $ \pm 0.2 $.

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