A runner Is sprinting n45 degrees at 20mph through wind blowing n30 degrees at 10 mph. Find the true speed of the man.

Question

Please write out the steps of the problem. Thank you.

Answer 1

runner's vector =R= <10sqr2, 10sqr2>

= about <14.14, 14.14>

wind's vector =W=<5sqr3, 5>=about <8.6, 5>

sum = <22.74, 19.14>= resultant vector

speed = the magnitude of the resultant vector

= sqr(22.74^2 + 19.14^2>= runner's speed with wind helping him