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?

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

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.

Answer must be in standard form scientific notation with SI units that do not have prefixes ( except for kg.) all angles and directions must be calculated to the nearest 0.1 deg. (Tenth of a degree) and entered in standard form scientific notation.

I just need the answer to A

A person sitting on a Ferris wheel rises and falls as the wheel turns. Suppose that the person's height above ground is described by the following function. h(t)=19.8+18.5 sin 1.9t In this equation, h (t) is the height above ground in meters, and t is the time in minutes. Find the following. If necessary, round to the nearest hundredth. Minimum height above the ground: meters Period of h: minutes Frequency of h: revolutions per minute

Suppose A = (-2.33 m)i + (3.79 m)j, B = (2.87 m)i + (-4.8 m)j + (2.18 m)k, and D = (-2.99 m)i + (-4.24 m)j..  What is the angle, in degrees, between D and A