1. a) write a formula relating deltah and deltat for a rocket traveling at a con
ID: 3027606 • Letter: 1
Question
1. a) write a formula relating deltah and deltat for a rocket traveling at a constant speed of 26,000 ft/s, whose height is represented by h (in ft) and time since launch is represented t (in seconds)
b) convince yourself that the graph of distance vs. time for constant speed is a straight line. why does the slope of that line corresponds to the speed?
c) what is wrong with connecting the dots in the height vs. time graph (green line) with a straight line? what should the shape of that graph be? why?
2. a) Draw a graph of distance, d, vs. time, t, for this car. Be sure to label your axes.
b) clearly indicate the steeper parts of the graph on your drawing. What do the steeper parts of the graph mean? explain using Delta,d and Delta,t.
c) what is the infection point in the graph? what does this mean in the context of the car? expain using delta,d and delta,t
Explanation / Answer
a) Starting time t1 and ending time t2, will have a duration of t = t2 – t1.
Starting height h1 and ending height h2, will have a height of h = h2 – h1.
We have a constant speed of 26,000 ft/s
=> h = 26,000 t (h is in feet and t is in seconds)
Therefore h/t = 26,000 (ft/s)
b) Since h/t or dh/dt is constant.
=> h = 26000*t + c where c is constant
=> Here relation between h and t is representing by the equation of line.
Hence the graph of distance vs. time for constant speed is a straight line.
c) Graph not given.
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