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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

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Final answer to the problem

The speed of the stone is $\sqrt{78.48}$ 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 ($v_0$)

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

Learn how to solve free fall problems step by step online.

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

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Learn how to solve free fall 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. Add the values 4 and 0.

Final answer to the problem

The speed of the stone is $\sqrt{78.48}$ m/s

Exact Numeric Answer

$v_0=8.8588938$

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Similar Problems Solved

$\log_3\left(81\right)=4$

Main Topic: Free Fall

Free fall is a special case of movement in a vertical direction and with constant acceleration, which is gravity. Gravity is always constant and downward. It is a type of non-uniform linear motion, but with a vertical trajectory.

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