3. A person walks first at a constant speed of 2 m/s along a straight line from point A to point B and then back along the line from point B to point A at a constant speed of 4 m/s. What is her average speed over the entire trip (in m/s)? A) 2.67 B) 4.46 C) 3.75 D) 6.86

Two ropes are connected to a 200 kg dinghy. Two brothers each take one rope and pull. When the brothers pull in the same direction, the dinghy accelerates at a rate of 1.39 m/s2 to the east. If they pull in opposite directions, the dinghy has an acceleration of 0.512 m/s2 to the west. Assume the ropes are horizontal, and ignore any other horizontal forces acting on the dinghy. What is the magnitude of the force each brother exerts on the dinghy? (Assume each magnitude is constant in either direction.) -larger force? -smaller force?

A car, second is moving with a velocity (3.0 m/s) x + (1.0 m/s) ^ and 2.0 velocity is (6,0m/s) x - (3.0 m/s)ỹ. What is the magnitude of the average acceleration of the car ? @ 0-82 m²/52 2-5m/s2 Ⓒ 1.6 m/s² @ 2.0 m/s² Ⓒ 6.2 m/s² E

Two cars are driving, car 1 has initial position -3500m, initial velocity -55m/s and acceleration +1.25m/s2, car 2 has initial position +4100m, initial velocity -35 m/s and acceleration +0.75m/s2;   a) How much time until they collide? b) What is the x location where they collide, and the final velocity of each car?

A particle moves in such a way that a = 2t + 2 m/s/s, where t is in seconds. Determine the velocity ( m/s ) of the particle after 5 seconds. O 15 O 25 O 30 O 37

2. A child running around in a field has the following position and velocity at time t = 0: x = 1.5 m, y = 2.0 m Vx = -3.5 m/s, vy=-1.0 m/s At time t = 2.5 s, it has the following position and velocity: x = -2.0 m, y = 1.5 m vx = -0.50 m/s, v, = 2.0 m/s Using this information, find the child's average velocity and average acceleration during that time interval. Write your answers in unit vector notation.

You travel from point A to point B in a car moving at a constant speed of 70 km/h. Then you travel the same distance from point B to another point C, moving at a constant speed of 90 km/h. Is your average speed for the entire trip from A to C 80 km/h? Explain why or why not.

Problem 2: Kinematics and vectors. An object is moving on the xy plane with velocities given by: V₂ x = (10.0-0.500t)1 and v = (-5.00t+0.025²) j Determine the following quantities: a. The displacement of the object as a function of time. b. The average velocity of the object from for the time interval from 0 to 10 s.

2. Write the kinematic equations for distance and velocity describing a particle moving in the x-direction with initial position 4m, initial velocity 2m/s, undergoing a constant acceleration of 3m/s² a) x(t) %D b) v(t) =

A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other, taking 2.90 s. Then security agents appear, and the man runs as fast as he can back along the sidewalk to his starting point, taking 10.5 s. What is the ratio of the man's running speed to the sidewalk's speed? Number i Units