A streamy river of 1000m wide is flowing in front of Robin's house. His college is just across the river from the house. One morning, just
10 minutes before the start of the class, he set sail for the college in a 10 kmh^-1 speed boat at 120 angles with the speed of the current and went
straight to the other side. [The distance of college from the bank of the river is negligible.]
Q:
c) What is the value of the velocity of the current of the river according to the stem?
d) Could Robin reach in class in due time? Give your opinion with mathematical analysis.
For question no c, as we know the relation of tan(theta) and do calculation accordingly I've calculated the river current.
For question no d, For a minimum time we know the value of theta in t= d/(v*cos(theta)) will be 90 degree. So minimum time is calculated by this way.
It'll be helpful to know if my approach is correct. Thanks in advanced
10 minutes before the start of the class, he set sail for the college in a 10 kmh^-1 speed boat at 120 angles with the speed of the current and went
straight to the other side. [The distance of college from the bank of the river is negligible.]
Q:
c) What is the value of the velocity of the current of the river according to the stem?
d) Could Robin reach in class in due time? Give your opinion with mathematical analysis.
For question no c, as we know the relation of tan(theta) and do calculation accordingly I've calculated the river current.
For question no d, For a minimum time we know the value of theta in t= d/(v*cos(theta)) will be 90 degree. So minimum time is calculated by this way.
It'll be helpful to know if my approach is correct. Thanks in advanced
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