A skier leaves a ski jump with a horizontal velocity of 29.4 m/s. The instant before he lands three seconds later, the magnitude of the horizontal and vertical components of his velocity are:

A golf ball is driven with the initial conditions shown in the figure. If the wind imparts a constant horizontal deceleration of 3.9 ft/sec2, determine the values of r, r˙, r¨, θ, θ˙, and θ¨ when t = 1.18 sec. Take the r-coordinate to be measured from the origin.

An airplane undergoes the following displacements: First, it flies 66 km in a direction 30° east of north. Next, it flies 49 km due south. Finally, it flies 100 km 30° north of west. Using vector components, determine how far the airplane ends up from its starting point. A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2 upwards. After 4.00 seconds the motor turns off, but the rocket continues to coast upward with no appreciable air resistance (deaccelerating). What maximum elevation does the rocket reach during its flight H DELL O W

ment Chapter 04, Problem 039 Your answer is partially correct. Try again. In the figure, a ball is thrown leftward from the left edge of the roof, at height h above the ground. The ball hits the ground 1.80 s later, at distanced = 26.0 m from the building and at angle 0 = 56.0° with the horizontal. (a) Find h. (Hint: One way is to reverse the motion, as if on videotape.) What are the (b) magnitude and (c) angle relative to the horizontal of the velocity at which the ball is thrown (positive angle for above horizontal, negative for below)? (a) NumberT32.3 Units (b) NumberÍ Units m/s 21.9 (c) Number 40.4 Units (degrees) Click if you would like to Show Work for this question: Open Show Work Privacy PolicY. I 2000-2021 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, In e to search 99+

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.

A space vehicle is coasting at a constant velocity of 17.0 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 0.291 m/s2 in the +x direction. After 54.3 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 launched with an initial velocity 38 m/s and an angle from the horizontal of 45°. The acceleration due to gravity is 9.81 m/s². Assume the projectile is launched from the surface of the Earth. i.e., at y (0) = 0. then the altitude of the projectile as a function of time is: y(t) = gt² + vo sin(0)t Where vo is the initial velocity. What is the maximum altitude achieved by the projectile?

An object is located initially at an origin. It has acceleration 3.00 m/s2, 90° and velocity 5.00 m/s, 0°. Determine the position (x, y) and the velocity (magnitude and direction) for times 1.00 s, 2.00 s and 3.00 s. Graph the position on an x-y coordinate plane for these times. Include the velocities and acceleration.

Dock diving is great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 9.02 m/s at an angle of 25.0° with respect to the surface of the water. Sheba begins at a height of 0.840 m above the surface of the water. What is her total time of flight up until the instant before she hits the water? Express your answer in seconds.