Determine the acceleration of the object at t = 2 seconds (check a@t=0 is -90):
Clear[t, v, x]
x[t]
x[0]
x[2]//N
Find the maximum acceleration of the object:
Solve[0, t]
x[]//N
In a boat race, boat A is leading boat B by L = 50 "m" and both boats are traveling at a constant
speed of 252 km/h. At t = 0, B accelerates at a constant rate of 2 m/s^2 while A maintains its original
velocity. Find the time and position that B passes A.
Given
xa0 - xb0 = 50 f
va0 = vb0 = 252 km/hr = m/s
aB = constant acceleration = 2 m/s^2
aa = 0 = acceleration of a (constant velocity)
xb = xa at = sec
Find:
the time and position that B passes A
Clear[xa, xb, xa0, xb0, va0, vb0, va, vb, aa, aB, t]
f;
xb0 = 0; xa0 = 50 + f;
va0 = vb0;
aa = 0; aB = 2;
Solve[, t]
Plot[( , ), {t, 0, 15}, PlotLegends -> {Boat A, Boat B}, AxesLabel -> {time, position}]
{(t - 7.28011), (t - 7.28011)}
position boats pass