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What is the vertical component of the velocity?

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The projectile is fired with a velocity of 8 m/s at an angle of 65 degrees. Waht is the vertical component of the velocity?

I'm not sure what to plug in where or what equation to use.

Mar 23rd, 2015

Think of it as trigonometry. Your velocity is the speed combined with the direction; here you have a speed of 8 in a direction 65 degrees (it's unspecified, but most likely we are to understand the angle is 65 degrees above the horizontal).


So, you have a right-angled triangle: The right angle is at B, between the horizontal and the vertical components AB and BC, and the hypotenuse AC is the velocity vector:


                                 C




A                               B


Since you know the length of AC and the angle at A, and B is a right angle, you can find the vertical component (length BC) by using sin(A) = o/h = BC/AC:

BC = AC sin(A)

= 8 * sin(65)

= 7.25 m/s (upwards).

Mar 23rd, 2015

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Mar 23rd, 2015
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