Example 2: A Ball Thrown

A ball thrown at time t = 0 with initial velocity of v₁ in the x direction and v₂ in the y direction will follow the parabolic curve

x = v₁t, y = v₂t - 16t².

The curve (Figure 10.6.2) has the vector equation

X = v₁ti + (v₂t - 16t²)j.

Figure 10.6.2