Question

In: Advanced Math

1a. Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x(t) =...

1a. Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation.

x(t) = cos(t) + 1
y(t) = 7 sin2(t)

1b. A dart is thrown upward with an initial velocity of 68 ft/s at an angle of elevation of 52°. Consider the position of the dart at any time t. Neglect air resistance. (Assume t is in seconds.)

Find parametric equations that model the problem situation.

x(t) =
y(t) =

1c.

A dart is thrown upward with an initial velocity of 61 ft/s at an angle of elevation of 56°. Consider the position of the dart at any time t. Neglect air resistance. (Assume t is in seconds. Round your answer to one decimal place.)

At what time will the dart reach maximum height?
t = ?

Solutions

Expert Solution

* (t) = cost tl cost- sin't = x(0-1 yo y (t) = 7 sin't - cos? (0) = (20-122 sin' (t) + Cos? (E) = 1 y = + (x (U-1)=1 => = y(t)+7(&(t)-1)=7 answer for 1@ This is the correct


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