I write 2 questions in one post. 1. you drive a car 510 ft to east, then 250 ft
ID: 1758813 • Letter: I
Question
I write 2 questions in one post.1. you drive a car 510 ft to east, then 250 ft to north.
a) What is the distance you have coverd?
b) Use a sketch, estimate the direction of your displacement.
c) Verify your estimation in part b with numbericalcalculation.
2. A treasure map directs you to start at a palm tree and walk duenorth for10.0m. you are then to turn 90 degree and walk 15.m; thenturn 90 degree and walk 5.00m. give the distance from thepalm tree and the direction relative to north, for each fourpossible locations of the treasure.
Explanation / Answer
1) a) Total distance he traveled = 510 ft + 250 ft = 760 ft b) First displacement is S1 = 510 ft along east, that meansalong positive x axis. Then S1x = 510 ft S1y = 0 Second displacement is S2 = 250 ft north, that meansalong positive y axis. Then S2x = 0 S2y =250 ft Now the resultant displacement he traveled along x axis is Sx = S1x + S2x = 510 ft + 0 = 510 ft Total displacement he traveled along y axis is Sy = S1y + S2y = 0 + 250ft = 250 ft Therefore the magnitude of the resultant displacement is S = [Sx2 +Sy2] = 568 ft Direction is = tan-1(Sy /Sx) = tan-1[(250ft) / (510ft)] = 26.1o