Example 5: Velocity, Speed, Accelleration on a Parabolic Curve

Find the velocity, speed, and acceleration of a ball moving on the parabolic curve

S = v₁ti + (v₂t - 16t²)j.

Figure 10.7.4

Velocity:

V = v₁i + (v₂ - 32t)j.

Speed:

Acceleration:

A = -32j.

We see in Figure 10.7.4 that the velocity vector is tangent to the parabola, while the acceleration vector points straight down.