A snowmobile is originally at the point with position vector 31.3 m at 95.0° counterclockwise from the x axis, moving with velocity 4.77 m/s at 40.0°. It moves with constant acceleration 1.92 m/s2 at 200°. After 5.00 s have elapsed, find the following.

Question

(a) its velocity vector
=



(b) its position vector
=

Answer 1

Solve x and y problems separately

Xi = 31.3 cos 95 = -2.73
Vix = 4.77 cos 40 = +3.65
Ax = 1.92 cos 200 = -1.80
at five seconds
Vx = 3.65 -1.80 t = -5.35
x = -2.73 +3.65*5 +(1/2)(-1.8)(25) = -6.98

Do the y component problem the same way

Answer 2

Except that for the y component, use sin() rather than cos()