Question

a bicyclist rides with a constant speed of 7m/s for 4s. make a motion chart (from initial position) chart to answer the following questions. answers have 4% tolerance to allow for approximations. a = unit t unit v unit δx unit 0 1 2 3 4

Explanation:

Step1: Determine acceleration

Since the speed is constant, acceleration \(a = 0\ m/s^{2}\).

Step2: Determine velocity at different times

The velocity \(v\) is constant at \(7\ m/s\) for all times \(t = 0,1,2,3,4\ s\).

Step3: Calculate displacement \(\Delta x\)

The formula for displacement in uniform - motion is \(\Delta x=v\times t\).
For \(t = 0\ s\), \(\Delta x_0=7\times0 = 0\ m\).
For \(t = 1\ s\), \(\Delta x_1=7\times1 = 7\ m\).
For \(t = 2\ s\), \(\Delta x_2=7\times2 = 14\ m\).
For \(t = 3\ s\), \(\Delta x_3=7\times3 = 21\ m\).
For \(t = 4\ s\), \(\Delta x_4=7\times4 = 28\ m\).

\(t\) (s)	\(v\) (m/s)	\(\Delta x\) (m)
1	7	7
2	7	14
3	7	21
4	7	28

Answer:

\(a = 0\ m/s^{2}\)

\(t\) (s)	\(v\) (m/s)	\(\Delta x\) (m)
1	7	7
2	7	14
3	7	21
4	7	28