how to calculate magnitude and direction physics?
482527
['Apply the Pythagorean theorem to find the magnitude. Plug in the numbers to get 5.1.', 'Apply the equation theta= tan–1(y/x) to find the angle. Plug in the numbers to get tan–1(5.0/1.0) = 79 degrees.']
34913
['Average Velocity. va = (v1 + v0) / 2 (1) ... ', 'Final Velocity. v1 = v0 + a t                   (2) ... ', 'Distance Traveled. s = (v0 + v1) t / 2 (3) ... ', 'Acceleration. a = (v1 - v0) / t (4) ... ', 'Example - Accelerating Motorcycle.']
466427
['Determine the weight of each number.', 'Find the sum of all weights.', 'Calculate the sum of each number multiplied by its weight.', 'Divide the results of step three by the sum of all weights.']
259970
['t = √(2y/g)', 't = √[2*(200 m)/(9.8 m/s2)]', 't = √(40.8 s2)', 't = 6.39 s.']
918569
['Horizontal velocity component: Vx = V * cos(α)', 'Vertical velocity component: Vy = V * sin(α)', 'Time of flight: t = 2 * Vy / g.', 'Range of the projectile: R = 2 * Vx * Vy / g.', 'Maximum height: hmax = Vy² / (2 * g)']
1462412
For numbers such as 1, 2, 3, and so on, the magnitude is simply the number itself. If the number is negative, the magnitude becomes the absolute value of the number. For example, the magnitude of 10 is 10. The magnitude of -10 becomes the absolute value of -10, which is 10.
1079996
Suppose that the coordinates of the vector are (3, 4). You can find the angle theta as the tan–1(4/3) = 53 degrees. So if you have a vector given by the coordinates (3, 4), its magnitude is 5, and its angle is 53 degrees.
762080
The two vectors a and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are theta_+1 = 30 degree and theta_2 = 105 degree. Find the x and y components of their vector sum 7, the magnitude of r, and the angle r makes with the positive direction of the x axis.
837798
The direction of the acceleration is the same as the direction of the net force: 69 degrees. to find the magnitude of the net force, giving you 308 N. Use the magnitude of the force and the mass to find the magnitude of the acceleration: a = F/m = (308 N)/(1,000 kg) = 0.31 m/s2.
1289867
To find a unit vector with the same direction as a given vector, we divide the vector by its magnitude. For example, consider a vector v = (1, 4) which has a magnitude of |v|. If we divide each component of vector v by |v| we will get the unit vector uv which is in the same direction as v.
511462
To calculate dimensional (DIM) weight, multiply the length, width, and height of a package, using the longest point on each side. Then, divide the cubic size of the package in inches by the DIM divisor to calculate the dimensional weight in pounds.
480994
["R = earth's radius (mean radius = 6,371km)", 'Δlat = lat2− lat1.', 'Δlong = long2− long1.', 'a = sin²(Δlat/2) + cos(lat1). cos(lat2). sin²(Δlong/2)', 'c = 2. atan2(√a, √(1−a))', 'd = R.c.']
1412580
The angle between the velocity in the plane and the magnetic field in the plane is degrees. Therefore, the force is calculated to be: This is the same magnitude of force calculated by unit vectors.
899207
The trajectory has horizontal (x) and vertical (y) components. Velocity is a vector (it has magnitude and direction), so the overall velocity of an object can be found with vector addition of the x and y components: v2 = vx2 + vy2.
110242
To find a unit vector with the same direction as a given vector, we divide by the magnitude of the vector. For example, consider the vector v = (1, 3) which has a magnitude of . If we divide each component of v by we will get the unit vector uv which is in the same direction as v: .
527258
['Step 1: Measure all sides of the area in one unit (Feet, Meter, Inches or any other).', 'Step 2: Enter length of horizontal sides into Length 1 and Length 2. And Width of the vertical sides into Width 1 and Width 2. ... ', 'Step 3: Press calculate button. ... ', 'Our Formula: Area = b × h.']
1040885
Its direction is the direction of the vector. So the magnitude of acceleration is the magnitude of the acceleration vector while the direction of the acceleration is the direction of the acceleration vector. ... Acceleration is simply a rate of change of velocity. So the magnitude tells you, how quickly velocity changes.