a circular test track for cars has a circumference of 3.7 km. a car travels around the track from the…

a circular test track for cars has a circumference of 3.7 km. a car travels around the track from the southernmost point to the northernmost point.\n\npart a\nwhat distance does the car travel?\nexpress your answer with the appropriate units.\n\ndistance = value units\n\nsubmit request answer\n\npart b\nwhat is the cars displacement from its original position?\nexpress your answer with the appropriate units.\n\nd = value units\n\nsubmit request answer

a circular test track for cars has a circumference of 3.7 km. a car travels around the track from the southernmost point to the northernmost point.\n\npart a\nwhat distance does the car travel?\nexpress your answer with the appropriate units.\n\ndistance = value units\n\nsubmit request answer\n\npart b\nwhat is the cars displacement from its original position?\nexpress your answer with the appropriate units.\n\nd = value units\n\nsubmit request answer

Answer

Explanation:

Step1: Recall distance formula for semi - circle

The car travels from the southernmost to the northernmost point of a circular track, which is half - circle. The distance $d_{1}$ traveled is half of the circumference $C$ of the circle. Given $C = 3.7$ km. $d_{1}=\frac{C}{2}$

Step2: Calculate the distance

Substitute $C = 3.7$ km into the formula. $d_{1}=\frac{3.7}{2}=1.85$ km

Step3: Recall displacement concept

Displacement is the straight - line distance from the initial to the final position. For a car moving from the southernmost to the northernmost point of a circular track, the displacement $d_{2}$ is equal to the diameter $D$ of the circle. Since $C=\pi D$, then $D=\frac{C}{\pi}$. $D=\frac{3.7}{\pi}\approx1.18$ km

Answer:

Part A: distance = 1.85 km Part B: d = 1.18 km