A ball is thrown horizontally towards the south with initial speed vo from the top of a building of height H located in the northern hemisphere at latitude 2. How long does it take for the ball to hit the ground? How far south does the ball travel? What is the lateral deflection of the ball? a. b. c. Your answers should take into account the Coriolis effect. Neglect air reşistance and terms
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- . A 3.0kg cannon ball is shot from a cannon at a speed of 20m/s. The cannon is oriented50 degrees above the horizontal and the cannon’s barrel is 8.0m above the ground. Youwant to position a mat that will catch the cannon ball.a. Determine how much time the cannon ball will spend in flight.b. Draw a force diagram for three points during the cannon ball’s flight (1) while itis being shot from the cannon, (2) when it is at its maximum height, and (3) whenit is half-way between the maximum height and the mat.c. Determine the horizontal distance from the end of the barrel where you shouldplace the mat so that it will catch the ball.d. How fast is the cannon ball moving just before it hits the mat?Recall that the Range equation gives the horizontal distance a projectile can be launched. Suppose there is a slight breeze so that the range equation is modified in the following way: R(0) : = sin(20) – 0.900 R Part A Use Calculus to determine the angle (in degrees) at which the projectile will reach its maximum range. ? OmazA jet airliner is moving east at 225 m/s, but experiences a head wind heading north at 50.0 m/s. c) What does it mean to determine the direction of the airliner in a ...right triangle?
- 14Prior to landing at the airport, an airplane flies at a constant speed in a circular course with aradius of 5000 meters. An observer notices that the plane completes each round trip in 400seconds.a. What is the speed of the airplane? b.Whats the centripetal acceleration?Part A 1. A plane is heading due cast. Will its ground speed be greater than or less than its airspeed, and will its flight path be north or south of east when the wind is from a. N b. S 80° W c. S 30° E d. N 80° E
- H6. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h1. After the bottom of this hill there is a small “jump” hill. The top of the jump has height h2 and a curvature of radius R. What is the minimum height of the starting hill, h1min, so that the skier/snowboarder jumps or “catches air” at the top of hill 2? Solve for h1min in terms of h2, R, and g. Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground.Assuming negligible atmospheric friction, a launched projectile has a parabolic path, as shown above. Point Q is the path peak and Points P and R are at the same altitude. Identify the correct relationship of the projectile speeds at the three points. O A. vp = VR < VQ O B. VO < VR < vP OC.Vo< vp = VR O D. VR < VQ < vP O E. Vp < VQ < VRThe airspeed of an airplane is 950 km/hr (headed 35° West of South). The plane sets out for a destination 1910 km to the South. The plane arrives at the destination in 1.50 h. Pug a) b) What is the velocity of the plane relative to the ground? What is the wind speed?
- Dynamics Help! If a baseball player throws a ball a horizontal distance of 100 m in 4 seconds at 45° latitude, by how much is it deflected laterally if he throws toward the east? a) Starting from the appropriate component either du/dt, dv/dt, or dw/dt find an expression for v (no numbers just the variables) b) Find an expression for y (again no numbers, find the equation c) Calculate the actual meridional deflection using the appropriate numbers given in the problem and explain or describe in words what this number means (specific direction)An athlete threw the ball at an angle of 30° up and the left from the ground at a velocity of 90 m/s. a. What was the horizontal velocity of the ball? b. What was the vertical velocity of the ball?