If a Projectile Is Fired with an Initial Velocity Of v

question 147

Multiple Choice

If a projectile is fired with an initial velocity of $v _ { 0 }$ meters per second at an angle $\alpha$ above the horizontal and air resistance is assumed to be negligible, then its position after $t$ seconds is given by the parametric equations
$$x = \left( v _ { 0 } \cos \alpha \right) t , y = \left( v _ { 0 } \sin \alpha \right) t - \frac { 1 } { 2 } g t ^ { 2 }$$
where $g$ is the acceleration of gravity $\left( 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 } \right)$ . If a gun is fired with $\alpha = 55 ^ { \circ }$ and $v _ { 0 } = 440 \mathrm {~m} / \mathrm { s }$ when will the bullet hit the ground?

• A) \(t = 244 \mathrm {~s}\)
• B) \(t = 74 \mathrm {~s}\)
• C) \(t = 344 \mathrm {~s}\)
• D) \(t = 124 \mathrm {~s}\)
• E) \(t = 224 \mathrm {~s}\)

---

Definitions:

Default Rate

The proportion of loans or debt instruments that are not repaid as agreed, leading to default, within a specific period.

Monthly Interest Rate

The Monthly Interest Rate is the interest rate charged or earned per month on a loan, savings account, or investment, expressed as a percentage of the principal.

NPV

Net Present Value; a financial metric that evaluates the profitability of an investment or project by calculating the difference between the present value of cash inflows and outflows over a period of time.

Chance Of Default

The probability that a borrower will be unable to meet their obligation to repay a loan or meet contractual obligations.