course phy121
Make up a problem for situation # 1, and solve it using direct reasoning. v0=0m/s
vF=10m/s
a=2.5m/s/s
vAve = (v0 + vF) / 2
5 = (0 + 10) / 2
a = `dv/`dt
`dv / a = `dt
10 / 2.5 = 4sec
`dt * vAve = `ds
4sec * 5m/s = 20cm
vAve=5m/s
`dt=4sec
`ds=20cm
Make up a problem for situation # 8, and solve it using the equations of uniformly accelerated motion.
vF = 6m/s
a = 1m/s/s
`ds = 20cm
v0^2 = (vF^2 - 2a) / `ds
1.3^2 = (36 - 2*1) / 20
vAve = (v0 + vF) / 2
3.65 = (1.3 + 6) / 2
`ds = {(v0+vF)/2} * `dt
`ds / {(v0+vF)/2} = `dt
20 / {(1.3 + 6)/2} = 5.48
v0 = 1.3m/s
vAve=3.65m/s
`dt=5.48sec"
This looks very good. Let me know if you have any questions.