A car drives around a circular track of diameter 67 m at a constant speed of 35.5 m/s. During the time it takes the car to travel 157 degrees around, what is the magnitude of the car s average acceleration? O m/s^2 37.62 m/s^2 O 18.81 m/s^2 26.91 m/s^2

A velocity vector has x-component vx = 6.3 m/s and y-component vy = - 2.5 m/s. What is the total magnitude of the velocity? O 3.8 m/s 6.7 m/s 5.8 m/s 8.8 m/s

Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j. Determine the value of 3A + 2B in terms of magnitude and angle. The angle can be specified either as a value between 0 and 360 degrees counter- clockwise with respect to the positive x-axis, or as a value between 0 and 90 degrees in the appropriate Cartesian quadrant. Paragraph I + v ... 96% 75°F lılı

The force F has a magnitude of 590 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. Assume F = 590 N, 0 = 31° Answers: F = (i Fx= i Fy || IM F i+ N N Mi IN

What is the direction of the vector r= -6.7i - 5.0j? where i and j represent the x-and y- unit vectors?

A soccer ball is kicked with a speed of 9.0 m/s at an angle of 25° above the horizontal. Write the ball's velocity in terms of rectangular unit vectors, using the standard notation that î is horizontal and ĵ is vertical.

The analytical method of adding vectors expressed in terms of their components may be applied to vectors in three dimensions, for which graphical work is inconvenient. Find the magnitude of the resultant of the vectors A = il2 - j37 + k58 and B = i5 + j30 - k42, where i, j, and k are unit vectors along the x, y, and z axes, respectively.

Two vectors are given by a  =  1.5î−4.0ĵ and b  =  −11.9î + 8.1ĵ. What is the magnitude of b? i already found out  magnitude of b is 1.44 but how to calculate the angle between vector b and the positive x-axis?

please please help!!

The average distance of the earth from the sun is about 1.5 x 108 km (Figure 1). Assume that the earth's orbit around the sun is circular and that the sun is at the origin of your coordinate system. (a) Estimate the speed of the earth as it moves in its orbit around the sun. Express your answer in miles per hour with the appropriate number of significant figures. (b) Estimate the angle between the position vector of the earth now and what it will be in 4 months. (c) Calculate the distance between these two positions.