Here we will look at a more complex problem for which we will use all three of o
ID: 1326455 • Letter: H
Question
Here we will look at a more complex problem for which we will use all three of our primary constant acceleration equations. A motorcyclist heading east through a small Iowa town accelerates after he passes a signpost at x=0 marking the city limits. His acceleration is constant: ax=4.0m/s2. At time t=0, he is 5.0 m east of the signpost and has a velocity of v0x= 15m/s
A) If the acceleration is 3.0 m/s2 instead of 4.0 m/s2, where is the cyclist, 3.0 safter he passes the signpost if x0=5.0m and v0x=15m/s?
B) How fast is he moving, 3.0 s after he passes the signpost if x0=5.0m and v0x=15m/s?
Explanation / Answer
A) X = Xo + vox*t + 0.5*ax*t^2
= 5 + 15*3 + 0.5*3*3^2
= 63.5 m
B) Vx = Vox + ax*t
= 15 + 3*3
= 24 m/s