A biker traveling with a velocity of 80 feet per second leaves a 100 feet platform and is projected directly….
A biker traveling with a velocity of 80 feet per second leaves a 100 feet platform and is projected directly upward. The function for the projectile motion Is s(t) = -16t2 +80t + 100 where s(t) is the height and t is the seconds the biker is in the air.
a) Looking at your calculator, find the number of seconds the biker is in the air (or â€œhang timeâ€). Then find the range of height values that the biker attains.
b) State the domain and range of this real life example. Remember that time isnâ€t negative and that the model is valid only when the biker is in the air!
c) Use the graph to determine when the biker will reach a height of 100 feet. State the (these) point(s) as an order pair and using functional notation.
d) Use the graph to determine what height the biker will attain after 1 second. State the point as an ordered pair and using functional notation.
Where is the function increasing? In other words, for what x-values does the biker continue to get higher? Where is the function decreasing? In other words, for what x-values does the biker start descending toward the ground? State these intervals using interval notation
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