Question

Asked Nov 20, 2019

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_{A brick is thrown upward from the top of a building at an angle of 30° to the horizontal and with an initial speed of 15 m/s. If the brick is in flight for 3.3 s, how tall is the building? }

Step 1

Let the brick be projected at an angle *θ* from the horizontal from the top of the building.

Let the horizontal component of the launch velocity be denoted by *v*_{ox} and the vertical component of the launch velocity be denoted by *v*_{oy }

The two velocity components are represented as ,

Step 2

Let the height of the building be denoted by *h*.

This height can be calculated in terms of the vertical motion of the brick.

Using the second kinematic equation, the height *h* can be computed as,

Also for the vertical motion of the brick

Step 3

Use the above substitution in the secon...

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