If a Projectile Is Fired with an Initial Speed Of v

question 79

Short Answer

If a projectile is fired with an initial speed of $v _ { 0 }$ ft/s at an angle $\alpha$
above the horizontal, then its position after t seconds is given by the parametric equations $x = \left( v _ { 0 } \cos \alpha \right) t \text { and } y = \left( v _ { 0 } \sin \alpha \right) t - 16 t ^ { 2 }$
where x and y are measured in feet.Suppose a gun fires a bullet into the air with an initial speed of 1024 ft/s at an angle of $30 ^ { \circ }$ to the horizontal. What is the maximum height attained by the bullet?

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Definitions:

Exchange-Rate Effect

The impact of changes in the exchange rate on a country's international trade and economic activity, particularly how depreciation can increase exports and reduce imports by making domestic goods cheaper for foreigners and foreign goods more expensive for domestic consumers.

Money Market

A segment of the financial market where short-term financial instruments with high liquidity are traded.

Interest-Rate Effect

The interest-rate effect describes how changes in the price level lead to changes in interest rates and thus in the quantity of goods and services demanded.

Aggregate Demand Curve

Represents the total demand for all goods and services within a certain market at various price levels, holding all else equal.