The position of an object moving along a line is given by the function s(t)= -18t^2 + 64t. Find the average velocity of the object over the following intervals.

The image shows a pendulum in simple harmonic motion the pendulum starts at a and swing to e

Acentrifuge in a medical laboratory rotates at an angular speed of 3,700 rev/min. when switched off, it rotates through 54.0 revolutions before coming to rest. find the constant angular acceleration (in rad/s2) of the centrifuge. your response is within 10% of the correct value. this may be due to roundoff error, or you could have a mistake in your calculation. carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. rad/s2

An airplane is flying with a velocity of 240 m/s at an angle of 30.0∘ with the horizontal, as the drawing shows. when the altitude of the plane is 2.4km, a flare is released from the plane. the flare hits the target on the ground. what is the angle θ?