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2.6b

Last updated about 5 years ago

5 questions

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Question 1

1.

A tennis player hits a tennis ball straight up at a velocity of 40 feet per second. The ceiling of the gym she is in has a height of 22 feet. The function that gives the height of the ball after x seconds is given by y=-16x^{2}+40x. Use the discriminant to explain if the ball will hit the ceiling above her.

Because the discriminant is positive this means the ball will hit the ceiling.

Because the discriminant is positive this means the ball will not hit the ceiling.

Because the discriminant is negative this means the ball will hit the ceiling.

Because the discriminant is negative this means the ball will not hit the ceiling.

Because the discriminant equals zero this means the ball will hit the ceiling.

Because the discriminant equals zero this means the ball will not hit the ceiling.

Question 2

2.

A farmer has 280 feet of fencing material to enclose a rectangular area for his pigs and chickens. He wants the fenced-in area to be 4900 square feet. The equation w(140-w)=4900 gives the width that meets these requirements. Use the discriminant to explain if he can build the pen to the requirements.

Because the discriminant is positive this means there is enough fencing.

Because the discriminant is positive this means there is not enough fencing.

Because the discriminant is negative this means there is enough fencing.

Because the discriminant is negative this means there is not enough fencing.

Because the discriminant equals zero this means there is enough fencing.

Because the discriminant equals zero this means there is not enough fencing.

Question 3

3.

You have found 35 inches of framing material with which to make a picture frame. You want to frame a picture that has an area of 80 square inches. The equation w(17.5-w)=80 gives the width of the frame that meets these requirements. Use the discriminant to explain if you can build the frame to the requirements.

Because the discriminant is positive this means there is enough framing material.

Because the discriminant is positive this means there is not enough framing material.

Because the discriminant is negative this means there is enough framing material.

Because the discriminant is negative this means there is not enough framing material.

Because the discriminant equals zero this means there is enough framing material.

Because the discriminant equals zero this means there is not enough framing material.

Question 4

4.

Two people are setting of fireworks. Kevin is setting his off at ground level at an initial velocity of 140 feet per second. Nate is setting his off from a deck 15 feet above the ground at a velocity of 120 feet per second. Will either of the fireworks reach a height of 275 feet above the gound and if so which one? Use the height equation h(t)=-16t^{2}-v_{0}t+h_{0}.

Only Kevin's fireworks will reach a height of 275 feet.

Only Nate's fireworks will reach a height of 275 feet.

Both Kevin's and Nate's fireworks will reach a height of 275 feet.

Neither Kevin's nor Nate's fireworks will reach a height of 275 feet.

Question 5

5.

A golfer hit their first shot into bunker. In order to make par, they need to hit out of the bunker and over some trees to get to the green. If the golfer hits the ball out of a 10 foot deep bunker with an initial velocity of 70 feet per second, will they be able to hit the ball over a tree that is 58 feet tall that is in between the bunker and the green? Use the height equation h(t)=-16t^{2}-v_{0}t+h_{0}.

The shot wil clear the tree.

The shot wil not clear the tree.