Solve
-Ron Throws a Ball Straight Up with an Initial $x = 0$

question 162

Multiple Choice

Solve.
-Ron throws a ball straight up with an initial speed of 70 feet per second from a height of 3 feet. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the maximum height of the ball?

• A) \(x = 0\) and \(y = - 16 t ^ { 2 } + 40 t + 6\)
• \(5.284 \mathrm { sec } , 1.25 \mathrm { sec }\)
• 25 feet
• B) \(x = 0\) and \(y = - 16 t ^ { 2 } + 40 t + 6\)
• \(2.34 \mathrm { sec } , 1.25 \mathrm { sec }\),
• \(5.99\) feet
• C)\(\begin{array}{l}
• x=0 \text { and } y=-16 t^{2}+40 t+6 \\
• 4.679 \mathrm{sec}, 1.25 \mathrm{sec} \\
• 181.21 \text { feet }
• \end{array}\)
• D) \(x = 0\) and \(y = - 16 t ^ { 2 } + 40 t + 6\)
• \(2.642 \mathrm { sec } , 1.25 \mathrm { sec }\)
• \(181.21\) feet
• 31 feet

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Definitions:

Expected Return

The anticipated profit or loss from an investment, calculated as an average of all possible outcomes weighted by their likelihood of occurrence.

Reward To Risk Ratio

A metric used by investors to compare the expected returns of an investment to the amount of risk undertaken to capture these returns.

Risk Premium

The additional return expected by an investor for taking a higher risk.

Risk-Free Rate

The theoretical return on investment with no risk of financial loss, typically represented by government bonds.