Exam 4: Kinematics in Two Dimensions

Two particles,A and B,are in uniform circular motion about a common center.The acceleration of particle A is 8.5 times that of particle B.The period of particle B is 2.0 times the period of particle A.The ratio of the radius of the motion of particle A to that of particle B is closest to

A boy throws a rock with an initial velocity of at 30.0° above the horizontal.If air resistance is negligible,how long does it take for the rock to reach the maximum height of its trajectory?

An object moves in a circle of radius R at constant speed with a period T.If you want to change only the period in order to cut the object's acceleration in half,the new period should be

A satellite orbits the earth a distance of 1.50 × 10⁷ m above the planet's surface and takes 8.65 hours for each revolution about the earth.The earth's radius is 6.38 × 10⁶ m.The acceleration of this satellite is closest to

An airplane is flying at a speed of 2.00 × 10² m/s in level flight at an altitude of 8.00 × 10² m.A package is to be dropped from the airplane to land on a target on the ground.Ignore air resistance. (a)At what horizontal distance away from the target should the package be released so that it lands on the target? (b)In what direction relative to the horizontal will the package be traveling when it hits the ground?

A pilot drops a package from a plane flying horizontally at a constant speed.Neglecting air resistance,when the package hits the ground the horizontal location of the plane will

Shown below are the velocity and acceleration vectors for a person in several different types of motion.In which case is the person slowing down and turning to his right?

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 projectile returns to its original height 4.08 s after being launched,during which time it travels 76.2 m horizontally.If air resistance can be neglected,what was the projectile's initial speed?

A ball is thrown at a 60.0° angle above the horizontal across level ground.It is thrown from a height of 2.00 m above the ground with a speed of 20.0 m/s and experiences no appreciable air resistance.The time the ball remains in the air before striking the ground is closest to

Point P in the figure indicates the position of an object traveling at constant speed clockwise around the circle.Which arrow best represents the direction of the acceleration of the object at point P?

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

For an object in uniform circular motion,its velocity and acceleration vectors are always perpendicular to each other at every point in the path.

A long-distance swimmer is able to swim through still water at 4.0 km/h.She wishes to try to swim from Port Angeles,Washington,directly north to Victoria,British Columbia,a distance of 50 km.An ocean current flows through the Strait of Juan de Fuca from west to east at 3.0 km/h.In what direction (relative to north)should she swim to make the crossing along a straight line between the two cities?

A plane has an eastward heading at a speed of 156 m/s (relative to the air).A 20.0 m/s wind is blowing southward while the plane is flying.The velocity of the plane relative to the ground is

Alice and Tom dive from an overhang into the lake below.Tom simply drops straight down from the edge,but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s.Neither person experiences any significant air resistance.Compare the time it takes each of them to reach the lake below.

An aircraft performs a maneuver called an "aileron roll." During this maneuver,the plane turns like a screw as it maintains a straight flight path,which sets the wings in circular motion.If it takes it 35 s to complete the circle and the wingspan of the plane is 11 m,what is the acceleration of the wing tip?

If an object travels at a constant speed in a circular path,the acceleration of the object is

A projectile is fired from point 0 at the edge of a cliff,with initial velocity components of and ,as shown in the figure.The projectile rises and then falls into the sea at point P.The time of flight of the projectile is 40.0 s,and it experiences no appreciable air resistance in flight.What is the magnitude of the velocity of the projectile 21.0 s after it is fired?

For general projectile motion,when the projectile is at the highest point of its trajectory