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distance, s(m), with an initial v on a(ms ²) is: 1 s=ut+at²

distance, s(m), with an initial v on a(ms ²) is: 1 s=ut+at²

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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1 The equation for a distance, s(m), travelled in time t(s) by an object starting with an initial velocity u(ms ¹) and uniform acceleration a(ms ²) is: s=ut+1at² The tasks are to: a) Plot a graph of distance (s) vs time (t) for the first 10s of motion if u=10ms and a=5ms ². b) Determine the gradient of the graph at t=2s and t=6s. c) Differentiate the equation to find the functions for i) Velocity ds dt ii) Acceleration _dv_d's dt dt² d) Use your result from part c to calculate the velocity at t=2s and t=6s. e) Compare your results for part b and part d.
Transcribed Image Text:1 The equation for a distance, s(m), travelled in time t(s) by an object starting with an initial velocity u(ms ¹) and uniform acceleration a(ms ²) is: s=ut+1at² The tasks are to: a) Plot a graph of distance (s) vs time (t) for the first 10s of motion if u=10ms and a=5ms ². b) Determine the gradient of the graph at t=2s and t=6s. c) Differentiate the equation to find the functions for i) Velocity ds dt ii) Acceleration _dv_d's dt dt² d) Use your result from part c to calculate the velocity at t=2s and t=6s. e) Compare your results for part b and part d.
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