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Question

How do I create a code in Matlab to get the answer to this question?

Two boats start together and race across a 60-km-wide lake and back。Boat A goes across at 60 km / h and returns at 60 km / h。Boat B goes across at 30 km / h、and its crew、realizing how far behind it is getting、returns at 90 km / h。Turnaround times are negligible、and the boat that completes the round trip first wins。(a)Which boat wins and by how much?(Or is it a tie?)(b)What is the average velocity of the winning boat?

Answer 1

Think of this as an algebra problem first and a matlab problem second. The translation to Matlab syntax is straightforward once you set up the algebraic operations.

Algebraically:

s = vt, or t = s/v

s = 60 km, split into two 30-km segments.

Average velocity = total distance / total time

For boat 1: t1 = 30/60 + 30/60

For boat 2: t2 = 30/30 + 30/90

You can express this in Matlab with something like:

distance = 60;

d2 = distance/2;

v1a = 60;

v2a = 60;

...

t1 = d2/v1a + d2/v2a;

...

vavg1 = distance / t1;