Suppose you are standing 100 ft away from a 100 ft tall building. Suppose you keep your eyes fixed on a basketball that is dropped straight downwards from the very top of the building. At the moment when the ball hits the ground, the angle of your head is decreasing at a rate of 0.1 radians per second. How fast is the ball moving at the moment when it hits the ground?

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+

We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?

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 spacecraft has an initial speed of 3037 m/s at an angle of 27 degrees above the positive x axis. Two engines fire for 5.4 seconds, and produce an acceleration of 9.9 m/s/s at an angle of 18.5 degrees above the positive x axis. What is the final speed of the spacecraft? What angle is it at above the positive x-axis?

A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 25 m/s at an angle θ = 17 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. With what speed, vf in meters per second, does the stone strike the ground? Recall that the ball will have a final velocity along the y-axis and the x-axis and these components need to be added together with the Pythagorean theorem in order to find the resultant velocity.

A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i +64 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s2, so the acceleration vector is a = -4 j - 32 k. Where does the ball land? (Round your answers to one decimal place.) X ft from the origin at an angle of 5.7 X from the eastern direction toward the south. 80.4 With what speed does the ball hit the ground? (Round your answer to one decimal place.) 61.3 X ft/s Submit Answer

While sitting in physics class one day, you begin to ponder the workings of the analog clock on the classroom wall. You notice as the hands sweep in a continuous motion that there are exactly t = 55 minutes left in class. Through what angle (in radians) will the second hand turn before the end of class?

You are on a new planet and want to know the acceleration due to gravity. You take a ball and kick it at an angle of 18.0° at a speed of 24.7 m/s. If the ball is in the air for 5.90 s, what is the magnitude of the acceleration due to gravity?