Suppose the position function for a free-falling object on a certain planet is given by h(t) = -16t^2 + v0t + h0. A silver coin is dropped from the top of a building that is 1,372 feet tall. Find the instantaneous velocity of the coin when t = 2.
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Step 1: Identify the given position function for the free-falling object: s(t) = -16t^2 + v0t + s0. Show more…
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Use the position function $s(t)=-16 t^{2}+v_{0} t+s_{0}$ for free-falling objects. A silver dollar is dropped from the top of a building that is 1362 feet tall. (a) Determine the position and velocity functions for the coin. (b) Determine the average velocity on the interval [1,2]. (c) Find the instantaneous velocities when $t=1$ and $t=2$. (d) Find the time required for the coin to reach ground level. (e) Find the velocity of the coin at impact.
Differentiation
Basic Differentiation Rules and Rates of Change
In feet and seconds, the position function for a free-falling object is s(t) = -16t^2 + v0t + s0 where s0 is the initial position and v0 is the initial velocity. A silver dollar is dropped from the top of a building 1296 feet tall. (a) Determine the position and velocity functions for the coin. (b) Determine the average velocity on the interval [1, 2]. (c) Find the instantaneous velocities when t = 1 and t = 2. (d) Find the time required for the coin to reach ground level. (e) Find the velocity of the coin at impact.
Ma. Theresa A.
Suppose the position function for a free-falling object on a certain planet is given by s(t) = -16t^2 + v_0t + s_0. A silver coin is dropped from the top of a building that is 1,362 feet tall. Determine the average velocity of the coin over the time interval [1, 2]. -48 ft/sec -53 ft/sec 16 ft/sec 48 ft/sec -16 ft/sec
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