Exam 3: Kinematics in Two Dimensions; Vectors

A boy kicks a football with an initial velocity of 20 m/s at an angle of above the horizontal. If we neglect air resistance, the magnitude of the acceleration of the ball while it is in flight is

In the figure, block A has a mass of 3.00 kg. It rests on a smooth horizontal table and is connected by a very light horizontal string over an ideal pulley to block B, which has a mass of 2.00 kg. When Block B is gently released from rest, how long does it take block B to travel 80.0 cm?

If vector has components and vector has components Ib and what is the magnitude of vector

You throw a rock horizontally off a cliff with a speed of 20 m/s and no significant air resistance. After 2.0 s, the magnitude of the velocity of the rock is closest to

The figure shows four vectors, Vectors both have a magnitude of 7.0 cm, and vectors both have a magnitude of 4.0 cm. Find the magnitude and direction of the sum of these four vectors.

A projectile is launched with an initial velocity of 80 m/s at above the horizontal. Neglecting air resistance, what is horizontal component of the projectile's acceleration?

You are trying to cross a river that flows toward the south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting Point. You should head your motorboat

If a vector pointing upward has a positive magnitude, a vector pointing downward has a negative magnitude.

Two vectors, of magnitudes 20 mm and 50 mm, are added together. Which one of the following is a possible value for the magnitude of the resultant?

Three vectors, , have the components shown in the table. What is the magnitude of the resultant of these three vectors?

A baseball player is running to second base at 5.03 m/s. When he is 4.80 m from the plate he goes into a slide. The coefficient of kinetic friction between the player and the ground is 0.180, and the Coefficient of static friction is 3.14. What is his speed when he reaches the plate?

If a vector has components then the angle that this vector makes with the positive x -axis must be in the range

The components of vectors are given as follows: What is the magnitude of the vector difference

The x component of vector is 5.3 units, and its y component is -2.3 units. The angle that vector makes with the +x -axis is closest to

Two boys, Joe and Sam, who are searching for buried treasure start underneath the same tree. Joe walks 12 m east and then 12 m north, while Sam walks 15 m west and then 10 m south. Both boys then stop. Find the magnitude and direction of the vector from Sam to Joe. Express the direction of this vector by specifying the angle it makes with the west-to-east direction.

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

James and John dive from an overhang into the lake below. James simply drops straight down from the edge. John takes a running start and jumps with an initial horizontal velocity of 25 m/s. Compare the time it takes each to reach the lake below if there is no air resistance.

A plane has an airspeed of 200 m/s northward, and is in a wind of 50.0 m/s to the west. The plane's speed relative to the ground is

A swimmer heading directly across a river that is 200 m wide reaches the opposite bank in 6 min 40 s. During this swim, she is swept downstream 480 m. What is the speed of the current?

A rock is thrown from the roof of a building, with an initial velocity of 10 m/s at an angle of 30° above the horizontal. The rock is observed to strike the ground 43 m from the base of the building. What is the height of the building assuming no air resistance?