car completes the turn in 36.0 s. (a) Determine the car's speed. (b) What is the magnitude and direction of the acceleration when the car is at point B? Figure P7.15 23. 16. It has been suggested that rotating cylinders about 10 mi long and 5.0 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its 24 surface equals the free-fall acceleration on Earth? 17. (a) What is the tangential acceleration of a bug on the rim of a 10.0-in.-diameter disk if the disk accel- erates uniformly from rest to an angular speed of 78.0 rev/min in 3.00 s? (b) When the disk is at its Unless otherwise noted, all content on this page is CengageLearning | Problems 233 final speed, what is the tangential velocity of the bug? One second after the bug starts from rest, what are its (c) tangential acceleration, (d) centripetal accelera- tion, and (e) total acceleration? 18. An adventurous archeologist (m 85.0 kg) tries to cross a river by swinging from a vine. The vine is 10.0 m long, and his speed at the bottom of the swing is 8.00 m/s. The archeologist doesn't know that the vine has a breaking strength of 000 N. Does he make it across the river without falling in? cord is fixed and

Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..

Page 3 of 8 3. Vector A has a magnitude of 13.6 and is at an angle of 30.5° counterclockwise from the +x- axis. Vector B has a magnitude of 25.1 and is -50.3° from the +x-axis. a. Express the vectors in the unit vector notation and b. find the angle between them.

A person walks 30.0 north of east for 3.80km. How far due north and how far due east would she have to walk to arrive at the same location?

A person leaves home and walks 6 miles west, then 5 miles southwest. How far from home is she? Round to at least one decimal place. miles In what direction must she walk to head directly home? Round to at least one decimal place. degrees North of East

A person walks 26.0° north of east for 3.70 km. How far due north and how far due east would she have to walk to arrive at the same location? north km east km

One side of a triangle is a = 6 units in length and the hypotenuse is c = 8 units in length. How long is side b? 3.74 units 5.29 units 10.0 units 1.41units

A person walks 33.0° north of east for 3.80 km. How far due north and how far due east would she have to walk to arrive at the same location?

An airplane flies 59 km at 30.0° east of north before turning to go 58 km due south and then finally, it flies 100 km at 30.0° north of west.  How far is the plane from its starting point?

Vector A has MAGNITUDE 7.46 m at ANGLE 0 degrees with respect to the positive x-axis. Vector B has MAGNITUDE 7.46 m at an ANGLE of 90 degrees with respect to the positive x-axis. What is the ANGLE in degrees with respect to the positive x-axis of the VECTOR C= A + B?   Pls help ASAP!!