A rocket-powered hockey puck moves on a horizontal frictionless table. The figure below shows the graphs of vx and vy, the x- and y-components of the puck’s velocity. The puck starts at the origin.

Question

The graph of the X-velocity is v=8t cm/s and the Y-velocity is V=30cm/s

Part A
In which direction is the puck moving at t = 2 s ? Give your answer as an angle from the x-axis.
Express your answer using two significant figures.

Part B
How far from the origin is the puck at 3 s ?
Express your answer to two significant figures and include the appropriate units.

Answer 1

A. X = 8*2 = 16 cm/s. Y = 30 cm/s.
Tan A = Y/X = 30/16 = 1.875.
A = 61.9o

B. X = 8*3 = 24 cm/s. Y = 30 cm/s.
Dx = 24cm/s * 3s = 72 cm.
Dy = 30cm/s * 3s = 90 cm.

D = sqrt(Dx^2 + Dy^2) =

Answer 2

115.256 cm

Answer 3

B. X = (1/2)(a)(t)^2 = (1/2)(8)(3)^2 = 36 cm
Y = (v(0))(t) = (30)(3) = 90cm
D = sqrt(x^2+y^2) = sqrt(36^2+90^2) = sqrt(9396)

~ 97 cm

Answer 4

i dont kow

Answer 5

Herny is wrong