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College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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need help with #4

**Problem 3:** Two stones are thrown vertically upward with matching initial velocities of 48 ft/s at time \( t = 0 \). One stone is thrown from the edge of a bridge that is 32 ft above the ground and the other stone is thrown from ground level. - The height of the stone thrown from the bridge after \( t \) seconds is \( f(t) = -16t^2 + 48t + 32 \). - The height of the stone thrown from the ground after \( t \) seconds is \( g(t) = -16t^2 + 48t \). **Tasks:** (a) Show that the stones reach their high points at the same time. (b) How much higher does the stone thrown from the bridge go than the stone thrown from the ground? (c) When do the stones strike the ground and with what velocities? --- **Problem 4:** A stone is thrown from the edge of a bridge that is 48 ft above the ground with an initial velocity of 32 ft/s. - The height of this stone above the ground \( t \) seconds after it is thrown is \( f(t) = -16t^2 + 32t + 48 \). If a second stone is thrown from the ground, then its height above the ground after \( t \) seconds is given by \( g(t) = -16t^2 + v_0t \), where \( v_0 \) is the initial velocity of the second stone. **Task:** Determine the value \( v_0 \) so that both stones reach the same high point.
Transcribed Image Text:**Problem 3:** Two stones are thrown vertically upward with matching initial velocities of 48 ft/s at time \( t = 0 \). One stone is thrown from the edge of a bridge that is 32 ft above the ground and the other stone is thrown from ground level. - The height of the stone thrown from the bridge after \( t \) seconds is \( f(t) = -16t^2 + 48t + 32 \). - The height of the stone thrown from the ground after \( t \) seconds is \( g(t) = -16t^2 + 48t \). **Tasks:** (a) Show that the stones reach their high points at the same time. (b) How much higher does the stone thrown from the bridge go than the stone thrown from the ground? (c) When do the stones strike the ground and with what velocities? --- **Problem 4:** A stone is thrown from the edge of a bridge that is 48 ft above the ground with an initial velocity of 32 ft/s. - The height of this stone above the ground \( t \) seconds after it is thrown is \( f(t) = -16t^2 + 32t + 48 \). If a second stone is thrown from the ground, then its height above the ground after \( t \) seconds is given by \( g(t) = -16t^2 + v_0t \), where \( v_0 \) is the initial velocity of the second stone. **Task:** Determine the value \( v_0 \) so that both stones reach the same high point.
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