Astudent wanted to drive from austin to san antonio, 80 miles south of austin on highway i35. unfortunately, he entered the highway in the wrong direction and drove all the way to waco-- 100 miles north of austin-- before he noticed the error. in waco, he turned around, drove back to austin and continued to san antonio. the whole trip took 3.93 h. what was the student's average speed during this trip? answer in units of mph. what was the student's average velocity during his trip? take your positive direction to be southbound on i35. answer in units of mph.

Average velocity is 20.4mph and Average speed is 71.2mph

Explanation:

Average velocity only depends of the final and initial points, in that way the initial point is Austin and the final point is San Antonio, the distance between both cities is 80miles, so average velocity is:

V=x/t, where V is average velocity, x is the distance and t is the time.

V=80mi/3.93h = 20.4mi/h =20.4mph (miles per hour).

Now lets to find Average speed, this is the total distance covered divided between total time spent on it.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

the answer is false. this is because for ice to melt, it requires latent heat of melting. latent heat means heat energy required to change phase without any increase in temperatures. therefore, the ice will take energy from the environment to melt hence atmospheric temperatures will reduce.