Aremote-controlled car's wheel accelerates at 22.6 rad/s2 . if the wheel begins with an angular speed of 10.2 rad/s, what is the wheel's angular speed after exactly sixteen full turns? answer in units of rad/s.

70.9pi rad/s

Explanation:

angle turned through = 16

angular acceleration = 22.6 rad/s2

angular speed = 10.2 rad/s

time = ?

angular acceleration = angular speed/time

time = 10.2/22.6

time = 0.45 seconds

angular speed = angle turned through/time

angular speed = (16 × 2pi)/0.45

= 70.9pi rad/s

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)