A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are v0x = +8.3 m/s and ax = +8.8 m/s2. The y components of the puck's initial velocity and acceleration are v0y = +9.6 m/s and ay = -6.1 m/s2. Find (a) the magnitude v and (b) the direction è of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis.

Answer 1

V = Vo + at.

V(hor) = 8.3 + 8.8*0.5 = 12.7m/s.

V(ver) = 9.6 + (-6.1)*0.5 = 6.55m/s.

a. V^2 = (12.7)^2 + (6.55)^2 = 204.19,
V = sqrt(204.19) = 14.3m/s = Magnitude.

b. tanA = Y/X = 6.55 / 12.7 = 0.516,
A = 27.3Deg. = Direction.

V = 14.3m/s @ 27.3Deg.

Answer 2

thanks guys for the help.
now my mom wont beat me since I've done my work
(my dad cant beat me because he went to go get milk a few years ago)