A puck is moving on an air hockey table. Relative to an x , y coordinate system

Question

A puck is moving on an air hockey table. Relative to an x, y coordinate system at timet = 0 s, the x components of the puck's initial velocity and acceleration are v0x = +6.5 m/s and ax = +4.3 m/s2. The y components of the puck's initial velocity and acceleration are v0y = +5.4 m/s and ay = -3.5 m/s2. Find (a) the magnitude v and (b) the direction ? of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis.

(a) v = m^2m/s^2kgm/sm (b) ? = degrees belowabove the +x axis 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 = +6.5 m/s and ax = +4.3 m/s2. The y components of the puck's initial velocity and acceleration are v0y = +5.4 m/s and ay = -3.5 m/s2. Find (a) the magnitude nu and (b) the direction ? of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis.

Explanation / Answer

vy = v0y + ay(t)

vx = v0x + ax(t)

after 0.50 s:

vy = 5.4 - 3.5(0.50)

vy = 3.65 m/s

vx = 6.5 + 4.3(0.50)

vx = 8.65 m/s

v = sqrt[(vy)

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