Hodges Harrington
03/04/2023 · Primary School

62. Height of a Projected Rock A rock is projected directly upward from ground level with an initial velocity of 90 ft per sec. (a) Give the function that describes the height of the rock in terms of time \( t \). (b) Determine the time at which the rock reaches its maximum height and the maxi- mum height in feet. (c) For what time interval will the rock be more than 120 ft above ground level? (d) After how many seconds will it hit the ground? 63. Area of a Parking Lot One

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(a) The height function is \( h(t) = 90t - 16.1t^2 \). (b) The rock reaches its maximum height at approximately 2.79 seconds, with a maximum height of about 128.5 feet. (c) The rock will be more than 120 ft above the ground level between approximately 1.96 seconds and 3.83 seconds. (d) The rock will hit the ground after approximately 5.58 seconds.

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