I have to make a position-time graph for this question but I don't know how to. The question is:
You are riding your bicycle to school. On your way to school, you undergo the following motions
1. You accelerate from rest for 4.0s at +1.0m/s2
2. Then you coast (constant velocity) for 5.0s at +4.0m/s
3. then you slow down at -2.0m/s2 for 2.0s
Its asking me to draw a pt, vt, and at graph. Then it's asking me to use my pt graph and calculate the max velocity reached by my bicycle. And to use the vt graph to calculate how far the bicycles traveled while braking.
4 years ago
Answered By Majid B
This is the Acceleration-Time graph:
Attached Graph:
4 years ago
Answered By Majid B
This is the Velocity-Time graph:
Attached Graph:
4 years ago
Answered By Majid B
This is the Position-Time graph:
Attached Graph:
4 years ago
Answered By Majid B
Using the Position-Time graph to calculate the maximum velocity:
Velocity=Slope of Position-Time graph => $v_{max}=\left(slope\right)_{max}=\left(\frac{rise}{run}\right)_{max}=\frac{28-8}{9-4}=4$vmax=(slope)max=(riserun )max=28−89−4 =4 m/s
Using the Velocity-Time graph to calculate how far the bicycles travelled:
Displacement = Area under the Velocity-Time graph =>
$d=Area=\left(\frac{1}{2}\times4\times4\right)+\left(5\times4\right)+\left(\frac{1}{2}\times2\times4\right)=8+20+4=32$d=Area=(12 ×4×4)+(5×4)+(12 ×2×4)=8+20+4=32 m