1 The equation for a distance, s(m), travelled in time t(s) byan object starting with an initial velocity u(ms ¹) anduniform acceleration a(ms ²) is:s=ut+1at²The tasks are to:a) Plot a graph of distance (s) vs time (t) for the first10s of motion if u=10ms and a=5ms ².b) Determine the gradient of the graph at t=2s andt=6s.c) Differentiate the equation to find the functions fori) Velocitydsdtii) Acceleration_dv_d'sdt dt²d) Use your result from part c to calculate the velocityat t=2s and t=6s.e) Compare your results for part b and part d.

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

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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Question

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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