version 1.3, 2010/11/13 03:23:03
|
version 1.4, 2010/11/24 02:53:18
|
Line 5 $wait=&random(2,4,1);</script>
|
Line 5 $wait=&random(2,4,1);</script>
|
<startouttext /> |
<startouttext /> |
At t=0 s, a car cruises at a constant positive velocity. Suddenly, a light switches to red. At t=$maxbraketime s, the driver is maximum on the brake. The car then stops in front of the red light for over $wait seconds. Eventually, it drives off, and then again cruises at a constant velocity. The car cannot accelerate with more than $maxacc m/s<sup>2</sup>.<br /> |
At t=0 s, a car cruises at a constant positive velocity. Suddenly, a light switches to red. At t=$maxbraketime s, the driver is maximum on the brake. The car then stops in front of the red light for over $wait seconds. Eventually, it drives off, and then again cruises at a constant velocity. The car cannot accelerate with more than $maxacc m/s<sup>2</sup>.<br /> |
Provide a graph of its acceleration as a function of time.<br /> <endouttext /> |
Provide a graph of its acceleration as a function of time.<br /> <endouttext /> |
<functionplotresponse xaxisvisible="yes" xlabel="t [s]" gridvisible="yes" ylabel="a(t) [m/s^2]" id="11" xmax="30" yaxisvisible="yes" xmin="-4" ymin="-8" ymax="8"> |
<functionplotresponse xaxisvisible="yes" xlabel="t [s]" gridvisible="yes" ylabel="a(t) [m/s^2]" id="11" xmax="30" yaxisvisible="yes" xmin="-4" ymin="-8" ymax="8" answerdisplay="0::$maxbraketime-4,-7*(exp(-0.5*(x-$maxbraketime)^2)-exp(-8)):$maxbraketime-4:$maxbraketime+4,0:$maxbraketime+4:$maxbraketime+5+$wait,($maxacc-0.3)*(exp(-(x-($maxbraketime+7+$wait))^2)-exp(-4)):$maxbraketime+5+$wait:$maxbraketime+9+$wait,0:$maxbraketime+9+$wait"> |
<functionplotelements> |
<functionplotelements> |
<spline initx="-2" inity="0" index="A" order="8" scalex="28" /> |
<spline initx="-2" inity="0" index="A" order="8" scalex="28" /> |
</functionplotelements> |
</functionplotelements> |