capa 4 solutions

capa 4 solutions - 1) In this question we focus only on one...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1) In this question we focus only on one of the three components (say the z-component for instance.) You can therefore neglect the other two (x, and y) and the problem becomes a motion in one dimension problem! Then we know how to describe the evolution of the z- component in the case of constant acceleration : z = z + v 0z t + a z t 2 Now, compare the equation given in the problem. Doesnt it look similar? Remember how the instantaneous velocity is defined (here written as the z-component of a 3-D velocity vector): v z = dz / dt (i.e. the derivative of the position over time). Therefore, we can write for the components given above: v z = v 0z + a z t (Looks familiar? If not, see your lecture notes now!) From the first equation above you now know v 0z and a z Put these numbers in the equation above and you find v z . 2) Compare the equation given in your CAPA sheet with the one I wrote above for the z- component of the motion (very first equation on this page). Can you figure out the a z component? Do the same for the a x and a y components (Hint: Some of them could be zero. Dont forget the in front of a.) Now you know the 3 components of the acceleration vector! Rembember: The magnitude | v | of a 3D vector v with the components x, y, and z is given by (very similar to the Pythagorean relation in 2D): | v | = sqrt( x 2 + y 2 + z 2 ) sqrt: means square root. 3) Very similar to last weeks CAPA problem with the medieval knight in vacuum (if you dont remember it, check the solution of CAPA#3, question 7.)remember it, check the solution of CAPA#3, question 7....
View Full Document

Page1 / 4

capa 4 solutions - 1) In this question we focus only on one...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online