On a spacecraft two engines fire for a time of 567 s. One gives the craft an acceleration in the x direction of ax = 4.80 m/s2, while the other produces an acceleration in the y direction of ay = 7.52 m/s2. At the end of the firing period, the craft has velocity components of vx = 3751 m/s and vy = 4834 m/s. Calculate the magnitude of the initial velocity.

A particle starts from the origin at r=0 with a velocity of 8.0 m/s and moves in the xy plane with constant acceleration (3.5i +1.7)) m/s1. (a) When the particle's x coordinate is 27 m, what is its y coordinate? (b) When the particle's x coordinate is 27 r. what is its speed? m/s

On a spacecraft two engines fire for a time of 389 s. One gives the craft an acceleration in the x direction of ax = 3.41 m/s^2, while the other produces an acceleration in the y direction of ay = 7.34 m/s^2. At the end of the firing period, the craft has velocity components of vx = 1860 m/s and vy = 4290 m/s. Find the (a) magnitude and (b) direction of the initial velocity. Express the direction as an angle with respect to the +x axis.

A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 1.9t²-3.1t and y-6.1t2-t3/1.2. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t - 4.3 s. Answers: When t = 4.3 s, V= a- i mm/s, ex- mm/s², 0,- i

A space vehicle is coasting at a constant velocity of 20.5 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 0.351 m/s2 in the +x direction. After 33.2 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.

After a constant acceleration of 2.31 m/s/s at 5.9 degrees above the +x-axis is applied by the motors of a boat for 9.3 seconds, the boat is moving at 38.55 m/s at 13.5 degrees above the +x-axis. What was the initial velocity of the boat? What is the initial angle from the positive x-axis?

A projectile is fired from the edge of a cliff, with an initial speed of 185 m/s at an angle of 40.0° above the horizontal. The projectile rises and then falls into the sea next to the cliff. The height of the cliff measured from the sea level is h. The time of flight of the projectile until it hits the water is 40.0 s. Ignore air resistance. What is the height h of the cliff? What is the maximum height the projectile has reached (measured from the seal level)? What is the magnitude of the ball's velocity just before it hits the ground?

The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.54 m above the floor. The ball hits the floor 0.392 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)?     10.0 m/s^2     15.0 m/s^2     30.0 m/s^2     20.0 m/s^2

Recently a space x launch vehicle was coasting at a constant velocity of 15m/s in the + y direction relative to a space station . The pilot of the vehicle fired a special RCS thruster which causes it to accelerate at 8m/s^2 in the +x direction . After 9.1 s the pilot shuts off the RCS thruster . After RCS thruster is turned off find the magnitude of the vehicles velocity in +x direction.

A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are vox = +2.2 m/s and ax = +7.2 m/s². The y components of the puck's initial velocity and acceleration are Voy = +9.7 m/s and a, = -1.7 m/s?. Find (a) the magnitude v and (b) the direction 0 of the puck's velocity at a time of t = 0.50 s. Specify %3D the direction relative to the +x axis. (a) V = (b) 0 = degrees the +x axis