A person standing at the edge of a cliff throws a rock upward from a height of 400 ft above ground level with an initial velocity of 46 ft/s. What is the velocity of impact when the rock reaches the bottom of the cliff? Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to two decimal places. (Hint: Use h(t) = - 16t² + 46t+ 400 as the position function, where h is in feet, t in seconds. Ignore air resistance.)
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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![A person standing at the edge of a cliff throws a rock upward from a height of 400 ft above ground level with an initial velocity of 46 ft/s. What is the velocity of impact
when the rock reaches the bottom of the cliff? Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to two
decimal places. (Hint: Use h(t) = 16t² + 46t + 400 as the position function, where his in feet, t in seconds. Ignore air resistance.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74205e1d-aea3-48a7-992c-1f4f7b7d40ab%2Fa8c54411-3a4a-4f92-95e0-bcfb6e5d266a%2F4ec5lh_processed.png&w=3840&q=75)
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