question archive A rocket-powered hockey puck moves on a horizontal frictionless table
A rocket-powered hockey puck moves on a horizontal frictionless table
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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.
Part A
In which direction is the puck moving at t = 3 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 4 s ?
Express your answer to two significant figures and include the appropriate units.
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A)
At t = 3s
Vx = 24 cm/s
Vy = 30 cm/s
Direction = tan^-1(Vy/Vx)
Direction = tan^-1(30/24)
Direction = 51.0o , Counter clockwise from +ve x axis.
B)
Distance in a V-T Graph is Area under the Curve,
Distance Travelled in X Direction, Sx = 1/2 * 4 * 32 cm
Sx = 64 cm
Distance Travelled in Y Direction, Sy = 4 * 30 cm
Sy = 120 cm
Total Distance travelled, S = sqrt(Sx^2 + Sy^2)
S = sqrt(64^2 + 120^2)
S = 136 cm
S = 1.4 m (Two Significant Figure)
