# A-REI Solve equations and inequalities in one variable. 1. Solve quadratic equations in one variable.

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A-REI Solve equations and inequalities in one variable. 1. Solve quadratic equations in one variable.

Vertical Motion Formula d=rt – 5t 2 The formula d=rt (Distance = rate X time) works when the rate is constant. When something is thrown upward into the air, the rate varies. The rate gets slower and slower as the object goes up, then becomes negative as it comes back down again.

d=rt – 5t 2 t is the number of seconds since the object was thrown upward. d is its distance in meters above where it was thrown. r is the initial upward velocity in meters per second. (The rate when the object was first thrown.)

d=rt – 5t 2 Ground distance Object Maximum Height

A basketball player shoots a long shot. The ball has an initial upward velocity of 6 m/sec. When it is released, the ball is at the same level as the basket which is 3 meters above the gym floor. The equation below models this situation:

A basketball player shoots a long shot. The ball has an initial upward velocity of 6 m/sec. When it is released, the ball is at the same level as the basket which is 3 meters above the gym floor.

1.After 0.3 seconds, how high is the ball above the basket? How high above the gym floor?

2. Assuming that the aim is good, when will the ball go in the basket.

3. At what time does the ball reach its highest point? Time Thrown Time when it goes In the basket. The ball reaches its highest point halfway between the time it is thrown and the time it reaches the basket.

4. How high is the ball above the gym floor at it’s highest point? The ball reaches its highest point halfway between the time it is thrown and the time it reaches the basket.

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