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Example 6

A ball thrown horizontally from a 100 ft cliff at a velocity of 50 ft/sec will follow the parametric equations

x = 50t, y = 100 - 16t2,

in feet. Find the slope of its path at time t (Figure 2.6.2).

02_differentiation-375.gif

so

02_differentiation-376.gif

02_differentiation-377.gif

Figure 2.6.2


Last Update: 2006-11-15