Vectors A in polar coordinates and vector B with unit vectors are give. Find a vector sum and a vector difference. Ignore units.

Vector A= 5 units at 53 degrees, and B= 5 i - 2 j in which i and j are unit vectors in x and y directions respectively. PART a. Show A and B and vector sum C in a polygon (Not to scale) showing A + B = C. SEE ATTACHMENT #1 for a diagram showing known data for A and B, and also a general triangle for showing law of cosines and law of sines. PART b. Use the law of cosines to calculate the magnitude of C. PART c. Express A with unit vectors, then find D with unit vectors, if D= B - A. PART d. Using the answer to part c, construct a vector polygon (Not to scale) having D, B and A connected to show D= B - A.

A boat leaves one bank of a river and heads in such a direction as to arrive at a point downstream and across the river.

A certain river is 2000 meters wide and flows Southward at 6.2 m/sec. The boat's speed relative to the water is 15 m/sec. From a point on the West bank the boat points in such a direction that it travels in a straight line to point Q on the East bank, 550 meters downstream. Find the direction the boat must point to do this. SEE ATTACHMENT #1 for a diagram showing known parameters.

Motion

As a baseball is being thrown, it goes from 0 to 40m/s in 0.15s. What is the acceleration of the baseball? Please show the work. Thank you

Motion

In 1993, the world record in the 200-m dash was 19.72s. What was the average speed in m/s? What was the average speed in mph? please show work!

motion

A train, initially stationary, has a constant acceleration of 0.5m/s squared. What is its speed after 15s? What would be the total time it would take to reach a speed of 25m/s?