Q1. A remotely operated ore hauler is driven around an open cut iron ore mine having an acceleration profile over a 300 second time period as given in Figure 1 (endpoints can be assessed to the nearest 0.1 m/s²). Using the integration expressions for velocity and displacement, v(t) = vo + S, a(t)dt and s(t) = so + S, v(t)dt, solve analytically for the Following: a) The velocity and displacement expressions as a function of time from 0

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Q1. A remotely operated ore hauler is driven around an open cut iron ore mine having an
acceleration profile over a 300 second time period as given in Figure 1 (endpoints can be
assessed to the nearest 0.1 m/s?). Using the integration expressions for velocity and
displacement, v(t) = vo + S, a(t)dt and s(t) = so + S, v(t)dt, solve analytically for the
following:
a) The velocity and displacement expressions as a function of time from 0<t<50.
b) The velocity and displacement expressions as a function of time from 50<t<75.
c) The velocity and displacement expressions as a function of time from 75<t<100.
d) The velocity and displacement expressions as a function of time from 100<t<150.
e) The velocity and displacement expressions as a function of time from 150<t<200.
f) The velocity and displacement expressions as a function of time from 200<t<250.
g) The velocity and displacement expressions as a function of time for 250<t<300.
h) Consequently, graph the resulting velocity and displacement expressions for the
interval 0<t<300 seconds.
0.6
0.4
0.2
50
100
150
200
250
300
-0.2
Time (seconds)
Acceleration (m/s?)
Transcribed Image Text:Q1. A remotely operated ore hauler is driven around an open cut iron ore mine having an acceleration profile over a 300 second time period as given in Figure 1 (endpoints can be assessed to the nearest 0.1 m/s?). Using the integration expressions for velocity and displacement, v(t) = vo + S, a(t)dt and s(t) = so + S, v(t)dt, solve analytically for the following: a) The velocity and displacement expressions as a function of time from 0<t<50. b) The velocity and displacement expressions as a function of time from 50<t<75. c) The velocity and displacement expressions as a function of time from 75<t<100. d) The velocity and displacement expressions as a function of time from 100<t<150. e) The velocity and displacement expressions as a function of time from 150<t<200. f) The velocity and displacement expressions as a function of time from 200<t<250. g) The velocity and displacement expressions as a function of time for 250<t<300. h) Consequently, graph the resulting velocity and displacement expressions for the interval 0<t<300 seconds. 0.6 0.4 0.2 50 100 150 200 250 300 -0.2 Time (seconds) Acceleration (m/s?)
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