The velocity v(t) of a particle is plotted as a function of time. The scale on the horizontal
axis is 4 s per grid square and on the vertical
axis 3 m/s per grid square. Initially, the
particle is at co= 38 m.
6
5
4
velocity (x 3 m/s)
3+
v(t)
2+
1
0
+ + +
0 1 2 3 4 5 6 7 8 9
time (x 4s)
What is the position of the particle at time
t = 16 s? (Pay careful attention to units on
the graph!)
Answer in units of m.

You have been hired to design a spring-launched roller coaster thatwill carry two passengers per car. the car goes up a 10-m highhill, then descends 15m to the track's lowest point. you'vedetermined that the spring can be compressed a maximum o 2.0m andthat a loaded car will have a maximum mass of 400kg. for safetyreasons, the spring constant should be 10% larger than the minimumneeded for the car to just make it over the top. a) what spring constant (k) should you specify ? b) what is the maximum speed of a 350 kg car if the spring iscompressed the full amount.