A rocket-powered hockey puck moves on a horizontal frictionless table. Figure 1

Question

A rocket-powered hockey puck moves on a horizontal frictionless table. Figure 1 shows the graph of v(x) and Figure 2 shows the graph of v(y), the x- and y- components of the puck's velocity respectively. The puck starts at the origin.

How far from the origin is the puck at 3s?

A rocket-powered hockey puck moves on a horizontal frictionless table. Figure 1 shows the graph of v(x) and Figure 2 shows the graph of v(y), the x- and y- components of the puck's velocity respectively. The puck starts at the origin. How far from the origin is the puck at 3s?

Explanation / Answer

ax = dVx/dt = (40-0)/(5-0) = 8 m/s^2 ay = dVy/dt = 0 Vy = 30 cm/s distance travelled in x-direction = u*t +0.5*a*t^2 = 0 +0.5*8*3^2 = 36 cm distance travelled in y-direction = 30*3 = 90 cm total distance from origin = sqrt[36^2 + 90^2] = 96.93 cm

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