- #1
timnswede
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Homework Statement
At one instant a bicyclist is 60 m due east of a park’s flagpole, going south at 20 m/s. Then 30 s later, the cyclist is 40 m due north of the flagpole, going due east with a speed of 10 m/s. On an XY-coordinate system with the flagpole at the origin, for the cyclist in this 30 s time interval:
a.) Draw position and velocity vectors as described
b.) Obtain displacement vector in unit-vector notation
c.) Obtain average velocity vector in unit-vector notation
d.) Obtain average acceleration vector in unit-vector notation
e.) Draw the vectors found
2. The attempt at a solution
a.) I was kind of confused on this part for a bit, but the position and velocity vectors are completely separate right? For position I drew the first one 60m straight east and from that vector one straight up 40m. Same idea for the velocity vectors.
b.) I'm not sure about this but I did final - initial, so (0i+40j) -(60i+0j) = -60i + 40j
c.) Displacement over time so (-60i+40j)/30s = -2i+4/3j
d.) Vf-Vi/t so (10i+0j)-(0i-20j)= (10i+20j)/30s = 1/3i + 2/3j
e.) I just drew all the vectors I found.