Explanation Given data: Initially elevator rise vertically up to 20 m . Elevator stops for 10 s . Entire trip of “R” is 24 s . Formula used: Write the expression for velocity. v x = Δ x Δ t (1) Here, Δ x is displacement, and Δ t is the time interval. Write the expression for displacement. Δ x = x f − x i (2) Here, x f is the final distance, and x i is the initial distance. Write the expression for time interval. Δ t = t f − t i (3) Here, t f is the final period, and t i is the initial period. Explanation: Initially, elevator rise vertically up to 20 m and reaches the fifth floor and rest for 10 s and again moves vertically down ward upto two floors. The entire trip duration of ‘R’ is 24 s . The position-versus-time graph is shown in Figure 1. Substitute x f − x i for Δ x and t f − t i for Δ t in equation (1), v x = x f − x i t f − t i (4) Modify equation (4) for y -axis as follows. v y = y f − y i t f − t i (5) Modify equation (5) for 0 s to 10 s as follows. v y ( 0 s-10 s ) = y 10 s − y 0 s t 10 s − t 0 s Substitute 20 m for y 10 s , 0 m for y 0 s , 0 s for t 0 s and 10 s for t 10 s , v y ( 0 s-10 s ) = 20 m − 0 m 10 s − 0 s = 2 m s Modify equation (5) for 10 s to 20 s as follows

4th Edition

ISBN: 9780134779218

Author: Knight

Publisher: PEARSON

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Chapter 2, Problem 7P

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To draw: The position-versus-time graph for “R” trip.

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Chapter 2 Solutions

COLLEGE PHYSICS,AP EDITION >NASTA ED.<

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To draw : The position-versus-time graph for “R” trip.

To draw: The position-versus-time graph for “R” trip.

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Chapter 2 Solutions