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STEM10-math 108

# STEM10-math 108 - Math Learning Center Boise State ©2010...

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Unformatted text preview: Math Learning Center Boise State ©2010 Quadratic Modeling STEM 10 Today we are going to put together an understanding of the two physics equations we have been using. • Distance: g G g ¡ ¢ £ ¡ ¤ ¢ ¥ ¦ §¤ ¦ • height : ¨ G ¨ ¡ ¢ £ ¡ ¤ ¢ ¥ ¦ ©¤ ¦ • Recall the variables: o § G acceleration o © G gravitation force (be careful of direction) o ¨ G height at time t o ¨ ¡ G height at time 0 o ¤ G time o g G position at time t o g ¡ G position at time 0 First let’s consider that a baseball player throws the ball straight up into the air at a velocity of 30 m/s. The initial height off the ground where the ball leaves the hand is 2 m. And recall that gravitational acceleration is given as 9.8 m/s 2 . Write the equation (be careful, gravity is 9.8 m/s 2 but this is in the downward direction: in the equation is this positive 9.8 or negative 9.8) Use the t-chart to fill in some values to assist in graphing the equation. Recall: Typically in physics distances are measured in meters per second. Below is the conversion from miles per hour 1 meter per second = 2.23693629 miles per hour Thus 30 m/s is just under 70mph. ¤ ¨ 0 1 2 3 4 5 h t Math Learning Center Boise State ©2010 Discussion: Discuss what is happening in this problem and include where the ball hits the ground. So where did the ball hit the ground?...
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STEM10-math 108 - Math Learning Center Boise State ©2010...

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