1. Draw and label the vector with these components. Then determine the magnitude and angle of the vector. a- A, = 3 A, = -2 b- B, = -2 By = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles in 2.4 minutes?

The magnitude V1 is 6.2 and it points along the negative x axis, while the magnitude V2 is 8.0 and it points at 40 degrees counter clockwise from the positive x axis.  A. What are the x and y components of vector V1? B. What are the X and Y components of vector V2? C. Determine magnitude of the sum V1+V2 D. Determine the angle of the sum V1+V2, measured counter clockwise from the positive x axis.

4. Suppose you leave you house, hike 2.0 mi due east, then 3.0 mi due north, and then 6.0 miles 30 north of west to your favorite tree. Find the total displacement, magnitude and direction, from your house to the tree. 6 mi 30° 2m² 3 mi

1. Let v = -51 + 53 be a vector in R². (a) Find v. (b) Find the angle, 0, in degrees, that v makes with the positive x-axis. (Answer in radians between 0 and 27.) (c) Find a unit vector that points in the same direction as v. Answer in component form.

A vector has a magnitude 10 and makes an angle of 120° to the +x axis, what's its x component? O A. 5 O B. -5√3 O C.-5 O D. 5√3

A circular racetrack has a radius of 500 m. What is the displacement of a bicyclist when she travels around the track from the north side to the south side? When she makes one complete circle around the track? Explain.

Standing waves are set up on two strings fixed at each end, as shown in the drawing. The two strings have the same tension and mass per unit length, but they differ in length by 0.51 cm. The waves on the shorter string propagate with a speed of 42.7 m/s, and the fundamental frequency of the shorter string is 234 Hz. Determine the beat frequency produced by the two standing waves.

1. Draw and label the vector with these components. Then determine the magnitu angle of the vector. a- A, = 3 ,Ay = -2 b- By = -2 ,By = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles- minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t² + 5 t +7 on [1,2] Find: a- The average velocity. b- The acceleration at 3s. 4. Julie is walking around a track at a 2m/s for some exercise. She then decides t gging so she accelerates at a rate of 0.5m/s² for 3 seconds. ow far did Julie travel from the time she started to accelerate to the end of the 3 seco 5. Ralph uses a 2000 N force to push his car along a road for 1000 m. It takes hin to do this. a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated.