In: Advanced Math
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 = ?
* (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