How can a driver steer a car traveling at constant speed so that the magnitude of the acceleration remains constant. (Assume that the road is level. Select all that apply.)on a circular pathon a straight lineon a parabolic pathon an elliptical path

You drive 7.50 km in a straight line in a direction 15° east of north. (a) Find the distances you would have to drive straight east and then straight north to arrive at the same point. (This determination is equivalent to find the components of the displacement along the east and north directions.) (b) Show that you still arrive at the same point if the east and north legs are reversed in order.

A man paddles a canoe in a long, straight section of a river. The canoe moves downstream with constant speed 3 m/s relative to the water. The river has a steady current of 1 m/s relative to the bank. The mans hat falls into the river. Five minutes later, he notices that his hat is missing and immediately turns the canoe around, paddling upriver with the same constant speed of 3 m/s relative to the water. How long does it take the man to row back upriver to reclaim his hat?

A man on a motorcycle traveling at a uniform speed of 10 m/s throws an empty can straight upward relative to himself with an initial speed of 3.0 m/s. Find the equation of the trajectory as seen by a police officer on the side of the road. Assume the initial position of the can is the point where it is thrown. Ignore air resistance.

Suppose at one point along the Nile River a ferryboat must travel straight across a 10.3-mile stretch from west to east. At this location, the river flows from south to north with a speed of 2.41 m /s. The ferryboat has a motor that can move the boat forward at a constant speed of 20.0 mph in still water. In what direction should the ferry captain direct the boat so as to travel directly across the river?

The determined Wile E. Coyote is out once more to try to capture the elusive roadrunner. The coyote wears a new pair of power roller skates, which provide a constant horizontal acceleration of 15.0 m/s2, as shown in Figure P3.59. The coyote starts off at rest 70.0 m from the edge of a cliff at the instant the roadrunner zips in the direction of the cliff, (a) If the roadrunner moves with constant speed, find the minimum speed the roadrunner must have to reach the cliff before the coyote. (b) If the cliff is 1.00 102 m above the base of a canyon, find where the coyote lands in the canyon. (Assume his skates are still in operation when he is in flight and that his horizontal component of acceleration remains constant at 15.0 m/s2.) Figure P3.59

A baseball is thrown from the outfield toward the catcher. When the ball reaches its highest point, which statement is true? (a) Its velocity and its acceleration are both zero. (b) Its velocity is not zero, but its acceleration is zero. (c) Its velocity is perpendicular to its acceleration. (d) Its acceleration depends on the angle at which the ball was thrown. (e) None of statements (a) through (d) is true.