A particle moves along the x axis according to the equation x=2+9t-3t² where x is in meters and t is in seconds. At t = 3.00 s, find.... (a) the position of the particle, (b) its velocity, and (c) its acceleration (10pts)

Ball is thrown from the rooftop with an initial down with velocity of magnitude va= 1.1 m/s. The rooftop is a distance above the ground, h= 36m. In this problem use a coordinate system in which upwards is positive. Find the vertical component of the velocity vfy, in meters per second with which the ball hits the ground. If you wanted the balls final speech to be exactly 27.3 m/s, from the heigh hnew (in meters), would we need to throw it with the same initial velocity? if the height is fixed at 36 m, but we wanted the balls final speed to be 32.7 m/s, what would the vertical component of the i goal velocity viy need to be, in meters per second?

The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t°, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) VWhat is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t 3.00 s. (a) Number i Units (b) Number Units (c) Number i Units (d) Number Units (e) Number Units (f) Number Units (g) Number i Units (h) Number i Units (i) Number i Units

Two airplanes leave an airport at the sametime. The velocity of the first airplane is680 m/h at a heading of 51.6◦. The velocityof the second is 640 m/h at a heading of 176◦.How far apart are they after 2.3 h?Answer in units of m.

The position of a particle moving along the x axis depends on the time according to the equation x = ct - btº, where x is in meters and t in seconds. Let c and b have numerical values 2.5 m/s4 and 1.2 m/s³, respectively. From t = 0.0 s tot = 2.5 s, Find its velocity at times (b) 1.O s, (c) 2.0 s, (d) 3.0 s, and (e) 4.0 s. Find its acceleration at (i) 4.0 s.

A particle moves along the x-axis according to the equation x = 2.00 +3.00t -1.00t^2, where x is in meters and t is in seconds. At t = 3.00s , find the acceleration of the particle.

The acceleration of a particle moving in a straight line is √?  m2/s, where S is in m. If when t=0 the v= 0 and S=0. Determine:(a) The velocity when S=16 mb) What time it takesc) Find S, v and a as a function of t

During a test, a rocket travels upward at Va = 60 m/s and when it is Sa = 20 m from the ground its engine fails. Determine the maximum height Sb reached by the rocket and its speed just before it hits the ground. use 2 decimal places.

A particle's velocity is described by the function vx = t^2− 10t+7m/s, where t is in s How many turning points does the particle reach.

A ball was kicked at an angle of 60 degrees with respect to the floor and after 3.2 seconds landed 10 meters ahead. Calculate the average velocity in x (vx), the initial velocity in y (viy), the initial velocity (vi), and the maximum height (ymax)