Hello.
An object is observed to move along the x-axis with a varying velocity; v(x)=C[x(d?x)]^1/2, where C=9.0/s and d=48.0m
A. Use computer simulation to calculate the time it will take for the object to travel from x=0 to x=d.
Hint: Subdivide the x-axis into N parts of width ?x=d/N. The time for the object to move from xn to xn+1 is ?t=?x/v(x_a); here x_a=0.5(x_n + x_n+1). Now add up all the time intervals.
B. Calculate the max speed during this time (plot the function)
c = 9.0;
d = 48.0;
n = 10;
v[x_] := c (x (d - x))^(1/2)
r = Range[0, d, d/n]
p = Partition[r, 2, 1]
xa = Mean /@ p
deltaV = v /@ xa
deltaT = (d/n)/deltaV
Total[deltaT]
Plot[v[x], {x, 0, d}]
FindMaximum[v[x], x]
Here's a code from Mathematica program
Top speed is = 216 at x = 24
But how to find time it will take for x to travel from 0 to 48?
