The speed of a projectile when it reaches its maximum height is 0.38 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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  1. The speed of a projectile when it reaches its maximum height is 0.38 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile?
  2. We found the centripetal acceleration of the Earth as it revolves around the Sun. Compute the centripetal acceleration of a point on the surface of the Earth at the equator caused by the rotation of the Earth about its axis. (Enter the magnitude. The radius of the Earth is 6,371 km.)
  3. A drop of glue adheres to the outer edge of a wheel of radius 0.350 m. The wheel rotates at a constant rate of 220 rev/min. What is the speed (in m/s) of the drop of glue? Also, what is the acceleration (in m/s2) of the drop of glue (magnitude and direction)?
  4. The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed relative to the air is 100 km/h. The air is moving in a wind at 27.0 km/h toward the north. Find the velocity of the airplane relative to the ground (magnitude and direction).
  5. A car travels due east with a speed of 40.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 44.0° with the vertical. Find the velocity of the rain with respect to the following reference frames.  the car_____  km/h downward and ___ ° west of vertical; and the Earth_____ km/h vertically downward.
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