The position of an object in circular motion is modeled by the given parametric equations, where t is measured in seconds. x=7sin((pi/8)t), y=-7cos((pi/8)t) How long (in sec) does it take to complete one revolution?

If you make multiple measurements of your height, you are likely to find that the results vary by nearly half an inch in either direction due to measurement error and actual variations in height. You are slightly shorter in the evening, after gravity has compressed and reshaped your spine over the course of a day. One measurement of a man's height is 6 feet and 1 inch. Express his height in meters, using the appropriate number of significant figures.

A rocket is launched at ? = 0 seconds. Its height, in meters above sea-level, is given by the equationℎ = −4.9?2 + 325? + 227A. Find the time it takes the rocket to reach the maximum height? (Round answer to 2 decimal places.) B. What is the maximum height attained by the rocket? (Round to the nearest whole number)

In the cross (or vector) product F = qu x B we know that q = 1 F = −29î + −16ĵ + −18k 6.01 +3.07 + 7.0k V = B = B + BJ + Bi What then is B in unit-vector notation if Bx = By? B = i î+ i Ĵ+ i

Vectors A and B are in the xy plane.Vector A has a magnitude of 8 units and an angle of 130 degrees.Vector B has components Bx=-7.72 and By = -9.20.What is the angle between the negative y angle and the vector product A x B?

The height at which the acceleration due to gravity becomes (g /. 9) (where g = acceleration due to gravity on the surface of the earth) in terms of the radius of the earth (R) is : R √₂ (c) √√2 R (a) (b) R 2 (d) 2R

The vector from figure E1.28 Are 164.375° and 19°

The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the acceleration decreases as an object moves away from the Earth's surface due to the increase in distance from the center of the Earth. Derive an expression for the acceleration due to gravity at a distance h above the surface of the Earth, gh. Express the equation in terms of the radius R of the Earth, g, and h. &h= Suppose a 74.35 kg hiker has ascended to a height of 1893 m above sea level in the process of climbing Mt. Washington. By what percent has the hiker's weight changed from its value at sea level as a result of climbing to this elevation? Use g = 9.807 m/s² and R = 6.371 × 106 m. Enter your answer as a positive value. weight change = %

The curve is described by V(t)=Vm*sin(w*t+theta). Given V1=21, V3=7.518 volts, V2=-V1, and T=5.5 msec. Find Vm (volts), w (rad/sec), theta (degrees), and t4 (ms).

A vector is given by: i = ( 4.83 ) î+ ( -3.56 ) 3+( -0.24 ) k Determine the angle between this vector and the negative y-axis. Your answer should be an angle between O and 180 in units of degrees. Due to Canvas, you must enter your answer without units.