A rock is dropped from a height of 89.7 m and falls toward Earth in a straight line. In t seconds the rock falls 4.9t2 meters. (a) What is the average velocity of the rock for the first 3 s? (b) How long does it take for the rock to hit the ground? (Round your answer to three decimal places.) (c) What is the average velocity of the rock during the time it is falling? (Round your answer to two decimal places.)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
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A rock is dropped from a height of 89.7 m and falls toward Earth in a straight line. In t seconds the rock falls 4.9t2 meters.
(a) What is the average velocity of the rock for the first 3 s?
(b) How long does it take for the rock to hit the ground? (Round your answer to three decimal places.)
(c) What is the average velocity of the rock during the time it is falling? (Round your answer to two decimal places.)
(d) What is the velocity v of the rock when it hits the ground? (Round your answer to two decimal places.)
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