In the figure, particle A moves along the line y = 31 m with a constant velocity v of magnitude 3.0 m/s and directed parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration a of magnitude 0.42 m/s?. What angle 0 between a and the positive direction of the y axis would result in a collision? B

Consider two particles A and B moving with constant acceleration on a plane. At time t=0, particle A is at the origin (x=0,y%=D0) and is moving with initial velocity VA = (30 m/s)î + (40 m/s)j. At time t=0, particle B is at the point (x=20 m, y=0) and is moving with initial velocity Vg = (50 m/s)j. Both particles have the same acceleration å = (-10 m/s²)ĵ 14. What is the magnitude of the average velocity of the particle A during the time interval from t=0 to t=2 s?

Antiballistic missiles (ABMs) are designed to have very large accelerations so that they may intercept fast-moving incoming missiles in the short time available. What is the takeoff acceleration (in m/s2) of a 10,000 kg ABM that expels 225 kg of gas per second at an exhaust velocity of 2.65 ✕ 103 m/s? (Enter the magnitude.)

Physics Question #31 is the attached image

The position of a particle along the positive x-axis is given by the following function r = 1t3 +14t2 +4, find the speed of the particle at time t=17, where t is in seconds and r is in cm.  Recall that the velocity can be found by taking the derivative of the position vector.  Express your answer in cm/s.

A space vehicle is coasting at a constant velocity of 17.8 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.280 m/s2 in the +x direction. After 33.6 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction.

A projectile is fired from ground level at time t=0, at an angle θ with respect to the horizontal. It has an initial speed v0. In this problem we are assuming that the ground is level. Find the time tH it takes the projectile to reach its maximum height H.  Find tR, the time at which the projectile hits the ground after having traveled through a horizontal distance R. Find H, the maximum height attained by the projectile. Find the total distance R (often called the range) traveled in the x direction; see the figure in the problem introduction.

Irina, standing on the edge of a cliff, throws a stone at a 40-degree angle above the horizontal with an initial speed of 10.0 m/s. The instant before the stone hits the ground below, it is traveling at a speed of 63 m/s. If Irina were to throw the other rock at a 40-degree angle below the horizontal from the cliff instead, with the same initial speed of 10.0 m/s, what is the magnitude of the velocity of the stone just before it hits the ground? Ignore any effects of air resistance

A space vehicle is coasting at a constant velocity of 24.6 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.201 m/s² in the +x direction. After 47.8 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction. (a) Number i (b) Number i Units Units +

When a chronometer begins with a time of zero seconds, matching soccer balls have a horizontal separation, d=6.28m. The ball on the left is released from the ground with an initial velocity of magnitude v0 directed toward the other soccer ball. The ball on the right has an initial height h1=3.17m and is momentarily at rest. A short time later, the matching soccer balls collide at the collision point, C, at a height h2-1.69m above the ground, as indicated on the diagram. Ignore the finite size of the balls, and additionally ignore any air resistance. (Dimensions are not to scale.) Part (a)  Given the numeric values in the problem statement, tabulate the elapsed time, in seconds, at which the matching soccer balls collide.  Part (b)  Given the numeric values in the problem statement, tabulate the magnitude, in meters per second, of the initial velocity of the soccer ball on the left.