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At which speed should a stone be thrown upwards so that it reaches a maximum height of 4 m?

Step-by-step Solution

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Solution

Final answer to the problem

The speed of the stone is $8.8589$ m/s

Step-by-step Solution

1

What do we already know? We know the values for acceleration ($a$), velocity ($v$), distance ($y$), height ($y_0$) and want to calculate the value of velocity ($v_0$)

$a=9.81\:m/s2,\:\: v=0,\:\: y=4\:m,\:\: y_0=0,\:\: v_0=\:?$

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$a=9.81\:m/s2,\:\: v=0,\:\: y=4\:m,\:\: y_0=0,\:\: v_0=\:?$

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Learn how to solve problems step by step online. At which speed should a stone be thrown upwards so that it reaches a maximum height of 4 m?. What do we already know? We know the values for acceleration (a), velocity (v), distance (y), height (y_0) and want to calculate the value of velocity (v_0). According to the initial data we have about the problem, the following formula would be the most useful to find the unknown (v_0) that we are looking for. We need to solve the equation below for v_0. We substitute the data of the problem in the formula and proceed to simplify the equation. Multiply -2 times 9.81.

Final answer to the problem

The speed of the stone is $8.8589$ m/s

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