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also find rocks velocity at moment it hits the ground 3. After losing sight of her space pod on Planet X, Astronaut Michelle Dexter climbed

also find rocks velocity at moment it hits the ground

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3. After losing sight of her space pod on Planet X, Astronaut Michelle Dexter climbed a BOO-meter vertical cliff face to get a better View of the mysterious planet. When she spotted the space pod and aware that Planet X's gravity was lower than Earth's, she decided to drop a rock off the cliff and see if the force due to gravity was low enough that she could save herself time by attempting to jump and oat down rather than climb down. The function 30) = 2.9t2 describes the distance in meters the rock falls from the top of the cliff after t seconds. a. What was the rock's average velocity between t = 2 sec and t = 5 sec? (4 points) b. Determine a formula that gives the rock's instantaneous velocity at any time t. (4 points) c. After how many seconds will the rock hit the surface of Planet X? ( 3 points)

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