1. Projectile Motion The height of an object, in meters, thrown from the bottom of a small crater as a function of time is given by \( h ( t ) = - 4.9 t ^ { 2 } + 10 t - 2 \)
A. Set up an absolute value equation that models when the distance of the object from sea level is equal to \( 2 \) meters. B. Solve the equation. Make sure to find all solutions C. Interpret the results in a complete sentence.
\(- 4.9 t ^ { 2 } + 10 t - 2 = 2 \)
\( 4.9 t ^ { 2 } - 10 t + 4 = 0\)
\(t = \frac { 10 \pm \sqrt { 100 - 16 \times 4.9 } } { 9.8 }\)
\(= \frac { 10 \pm 4.65 } { 9.8 } \approx 1.49 \) or \( 0.55\)
How long will it take \(\$ 1500\) to double itself at \(6 \%\) sim- ple interest?
A pharmacist makes eye drops with saline solution. A \(10 \%\) saline solution mixed with an \(80 \%\) saline solution makes \(7\) cups of a \(60 \%\) saline solution. How many cups of the \(80 \%\) solution should be used?
