Initially, a bicycle is at the position 7 = (130 m)i + (210 m)j. After 120 s, the position of the particle is 7 = (110 m)i + (240 m)j . What is the average velocity vector of the bicycle in that time || tinterval? O Tav = (0.17 m/s)i + (-0.25 m/s)j O Jay = (0.25 m/s)i + (-0.17 m/s) O Tay = (-0.25 m/s)î + (0.17 m/s) O Jay = (-0.17 m/s)i + (0.25 m/s)j

The initial velocity of a car, v⃗i, is 45 km/h in the positive x direction. The final velocity of the car, v⃗f, is 66 km/h in a direction that points 75∘ above the positive x axis.  Sketch the vectors v⃗i, v⃗ f, and v⃗ =v⃗ f−v⃗ i. Draw the vectors with their tails at the dot.

A fish swimming in a horizontal plane has velocity v, = (4.00 î + 1.00 ĵ) m/s at a point in the ocean where the position relative to a certain rock is r, = (16.0 î – 1.60 j) m. After the fish swims %3D with constant acceleration for 15.0 s, its velocity is v = (17.0 î – 6.00 ĵ) m/s. (a) What are the components of the acceleration of the fish? a. m/s2 = a, m/s2 (b) What is the direction of its acceleration with respect to unit vector î? ° counterclockwise from the +x-axis (c) If the fish maintains constant acceleration, where is it at t = 28.0 s? X = y = In what direction is it moving? ° counterclockwise from the +x-axis

We are given that at t = 0 s, v, = (4.00 î + 1.00 j) m/s and ř, = (15.0 î - 2.30 j) m. After the fish swims for t = 16.0 s, we know that V = (16.0 î - 2.00 j) m/s. (a) Write the x and y components ax and a, for the constant acceleration vector a. 16.0 m/s - Avx ax = Your response differs from the correct answer by more than 10%. Double check your calculations. m/s At 16.0 s Your response differs from the correct answer by more than 10%. Double check your calculations. m/s? Avy The response you submitted has the wrong sign. m/s - 1.00 m/s !! At 16.0 s The response you submitted has the wrong sign. m/s2

An electron moves with a constant horizontal velocity of 3.0 × 106 m/s and no initial vertical velocity as it enters a deflector inside a TV tube. The electron strikes the screen after traveling 43 cm horizontally and 42 cm vertically upward with no horizontal acceleration. What is the constant vertical acceleration provided by the deflector? (The effects of gravity can be ignored.)

On the roof of a 24 meter high building there is a cannon. The barrel of the cannon is 4.0 meters long and forms the angle ? = 30° up from the horizontal. When the cannon is fired, the cannon ball leaves the muzzle the cannon barrel with the initial speed of 360 km/h regardless of the angle of the barrel. Suppose you find yourself in one area which, with the exception of the building you are standing on, is completely flat. How long does it take for the bullet to hit the ground?

The position of a particle moving in an xy plane is given by = (1.00t3 − 3.00t) + (7.00 − 8.00t4) , with in meters and t in seconds. In unit-vector notation, calculate the following for t = 2.70 s.

A ball is kicked with an initial horizontal velocity of 16 m/s and initial vertical velocity of 10 m/s. What is the initial angle 0 of the ball with respect to the ground? 45° O 28° 62° 58° O 32°

While standing on the roof of a building, a child tosses a tennis ball with an initial speed of 16 m/s at an angle of 25° below the horizontal. The ball lands on the ground 3.5 s later. How tall, in meters, is the building?