Exam 3: Motion in Two or Three Dimensions

A small boat is moving at a velocity of when it is accelerated by a river current perpendicular to the initial direction of motion.If the acceleration of the current is 0.750 m/s²,what will be the new velocity of the boat after

A hobby rocket reaches a height of and lands from the launch point with no air resistance.What was the angle of launch?

An electron moves with a constant horizontal velocity of and no initial vertical velocity as it enters a deflector inside a TV tube.The electron strikes the screen after traveling horizontally and vertically upward with no horizontal acceleration.What is the constant vertical acceleration provided by the deflector? (The effects of gravity can be ignored.)

A catapult is tested by Roman legionnaires.They tabulate the results in a papyrus and 2000 years later the archaeological team reads (distances translated into modern units): landing height = launch height.What is the initial velocity of launch of the boulders if air resistance is negligible?

A satellite orbits the earth a distance of 1.50 × 10⁷ m above the planet's surface and takes for each revolution about the earth.The earth's radius is .The acceleration of this satellite is closest to

A long-distance swimmer is able to swim through still water at .She wishes to try to swim from Port Angeles,Washington,directly north to Victoria,British Columbia,a distance of .An ocean current flows through the Strait of Juan de Fuca from west to east at .In what direction (relative to north)should she swim to make the crossing along a straight line between the two cities?

A hockey puck slides off the edge of a table at point A with an initial velocity of and experiences no air resistance.The height of the tabletop above the ground is 2.00 m. (a)What is the speed (not the velocity)of the puck just before it touches the ground? (b)What is the distance between point A and the point where the puck hits the ground?

An electrical motor spins at a constant If the armature radius is what is the acceleration of the outer edge of the armature?

Object A has a position as a function of time given by _A(t)= . has a position as a function of time given by _B(t)= .All quantities are SI units.What is the distance between object A and object B at time

A rescue plane flying horizontally at spots a survivor in the ocean directly below and releases an emergency kit with a parachute.Because of the shape of the parachute,it experiences insignificant horizontal air resistance.If the kit descends with a constant vertical acceleration of how far away from the survivor will it hit the waves?