joemama69
- 390
- 0
Homework Statement
consider a particle moving in the x-y plane as follows
x = 5t^2 - 3t
y = 2 + t^2
a) find the mag of the displacement, vel, and accel at t = 2
b)find the time when the vel and the accel are at right angles to each other
c) find the average vel between t = 0 and 1
Homework Equations
The Attempt at a Solution
a... x(2) = 14, y(2) = 6, mag of displacement is sqrt(14^2 + 6^2) = 15.23
vx(2) = 10(2) - 3 = 17, vy(2) = 2(2) = 4, mad of disp = 17.46
ax(2) = 10, ay(2) = 2, mag of disp = 10.20
b... i tried to graph them on my calc and find the intersection but i couldn't find the intersection... is this an appropriate method
c... average veolicy of x from t = 0 to 1 is... (7-(-3))/(1-0) = 10, for y... (2-0)/(1-0) = 2
the mag of the average is sqrt(10^2 + 2^2) = 10.20 m/s