What is the moving point's acceleration vector when t = 0? (0,25) (0, 10) (0,0) (5,0) (5,24) Suppose that a particle is moving around the plane in such a manner that at time t, it is located at 2 point (sin t, 5t - arctant).

A helicopter is to fly directly from a helipad at the origin in the direc- tion of the point (1, 1, 1) at a speed of 60 ft/sec. What is the position of the helicopter EXAMPLE 4 after 10 sec?

A windmill spins at a rate of 15 rpm (Revolutions per minute). Its arms are 3 m long and its center sits 12 m above the ground. A caterpillar clinging to the edge of an arm will experience periodic motion. Let ‘h’ represent the height of the caterpillar from the ground. Determine the angular velocity of the caterpillar in rads/sec. Using methods taught in grade 12 advanced functions

Supposed that the monthly average precipitation at a particular location varies sinusoidally between a maximum of 5 inches in January and a minimum of 2 inches in July. Let t=1 correspond to January and t=12 correspond to December.

A particle moves along a line so that its velocity at time t is v() = – † + t + 6 (measured in meters per second). a. Find the displacement of the particle during the time period 1sts4. b. Find the distance traveled during this time period.

the domain of y= sin3x is

Graph the curve x = cos t + 2 cos 2t y = sin t + 2 sin 2t to discover where it crosses itself. Then find equations of both tangents at that point.

A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 - 3t) Determine the coordinates of the particle if it travelled 10 units from (cos(4), sin(4),2)

Two identical sinusoidal waves with wavelengths of 6.00 m travel in the same direction at a speed of 2.00 m/s. The second wave originates from the same point as the first, but at a later time. The amplitude of the resultant wave is the same as that of each of the two initial waves. Determine the minimum possible time interval between the starting moments of the two waves.