Question

A ball is thrown straight up into the air. The table shows the data collected over t seconds, where h(t) is the height of the ball, in feet.
A 2-column table with 6 rows titled Height of Ball over Time. The first column is labeled t with entries 0, 1, 2, 3, 4, 5. The second column is labeled h(t) with entries 0, 64, 96, 96, 64, 0.
Which statement is true?

The initial height of the ball is 96 feet.
The ball will hit the ground between 2 and 3 seconds after it was thrown.
The maximum height of the ball must be 96 feet.
The maximum height of the ball was reached 2.5 seconds after it was thrown

Answer 1

A ball is thrown instantly up into the air. The table suggests the records collected over t seconds, where h(t) is the peak of the ball, in ft. option D The maximum height of the ball became reached 2.5 seconds after it became thrown.

When a feature's slope is 0 at x, and the second derivative at x is: much less than zero, it's miles a neighborhood maximum. more than 0, it's miles a local minimum.

We are able to set the first by-product of the feature to 0 and remedy for x to get the vital point. If we take the second by-product or f''(x), then we can find out whether or not this point could be a maximum or minimum. If the second derivative is advantageous, it is going to be a minimum fee.

If we're unable to attract a graph, there are formulas you may use to discover the most. if you are given the components y = ax2 + bx + c, then you could discover the maximum price of the usage of the method max = c - (b2 / 4a). if you have the equation y = an (x-h)2 + okay and the a term is negative, then the most price is k.

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