Question

10 students roll a marble down a ramp and measure the time it takes the marble to travel to points along the path. calculate the speed at each point. round to the tenths place.

Explanation:

Step1: Recall the speed formula

Speed \(v=\frac{d}{t}\), where \(d\) is distance and \(t\) is time.

Step2: Calculate speed for point A

For point A, \(d = 20\space cm\), \(t=0.32\space s\). Then \(v_A=\frac{20}{0.32}=62.5\space cm/s\).

Step3: Calculate speed for point B

For point B, \(d = 40\space cm\), \(t = 0.59\space s\). Then \(v_B=\frac{40}{0.59}\approx67.8\space cm/s\).

Step4: Calculate speed for point C

For point C, \(d = 80\space cm\), \(t=1.04\space s\). Then \(v_C=\frac{80}{1.04}\approx76.9\space cm/s\).

Step5: Calculate speed for point D

For point D, \(d = 160\space cm\), \(t = 2.25\space s\). Then \(v_D=\frac{160}{2.25}\approx71.1\space cm/s\).

Answer:

Point	Speed (cm/s)
B	\(67.8\)
C	\(76.9\)
D	\(71.1\)