Consider the curve r(t) = 5 costi +5 sin tj + 2tk - Write the acceleration in the form a = aTT + aNN. - Find the unit binormal vector to the curve B. - Find the arc length of this curve over the interval 0 ≤ t ≤ π.

A car driving around a circular track has a centripetal acceleration of 97 m/s2 until it hits a slick spot and slides straight off the track. If the radius of the track is 61 m, what is the car's speed v when it leaves the track?

Airplane makes a gradual 90 degrees turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. 1. for this turn, the magnitude of the radial acceleration of the plane is?