Physics

Content Covered: - 2D Kinematics

Directions: Answer the following problems below by showing the complete solution. In return, I will give you a good rating. Thank you so much!

Note: Please be careful with the calculations in the problem. Kindly double check the units, significant digits, and the solution and answer if there is a deficiency.

Thank you so much!

1.

2.5 Trapeze 5 You are the receiver in a trapeze duo and you are practicing your timing. Your partner, the jumper, releases when his swing is at 45 deg so that he flies through the air at a speed of 3 m / s. You catch him at the top of his trajectory and when your swing is also at 45 deg. The swings are identical and follow the same trajectory from -45 deg to +45 deg. How much later must you begin your swing than your partner to complete the stunt? Plese give your answer in s. Enter answer here2.4 Playground Ball 4 A playground is on the roof of a city school which is 10.1 m above the street (see figure below). The vertical wall of the school is h = 10.9 m above the ground, forming a 0.8 m railing around the playground. A student accidently knocked a ball onto the street below. A passerby returns it by kicking it at an angle of 0 = 65.0 deg to the ground d = 22.0 m from the wall. The ball takes t1 = 2.6 s to reach a point directly above the front wall of the school. ty 10.9 m- 650 +x 22 m Find the speed at which the ball was launched in m/ s. (Please give your answer to one decimal place to reduce error in later questions) Enter answer here2.2 Bird Watching 2 You are looking up and tracking a bird's steady horizontal motion. The bird is 35 m above the ground and moving at 6 m/s. Write an expression for the angle of your head as a function of time (t). Assume the bird is directly overhead at t = 0. Write the expression for the angle of your gaze from the vertical, so that zero radians (or degrees) represents looking straight up, and , radians (90 deg) is looking horizontal. Please denote multiplication with *. If you need to use any inverse trig functions please use asin, acos, atan. Preview will appear here... Enter math expression here2.3 Ball and Brick 33 A 0.2 kg mass is attached to a spring that is compressed against a heavy brick. The mass begins at the origin of a coordinate system as shown [Note that +y is pointing down]. At t : 0 S, the spring is released and the mass and brick are allowed to fall. The mass accelerates at 3.2 111/32 due to the spring and 9.8 111/52 due to gravity. Hi 4"! What is the displacement vector of the mass after 2.5 S? Give both components below in 111. i: Enter answer here 3b 7: Enter answer here 3c What is the direction of the total acceleration att = 0 s and t = 2.5 s? Give your answer in degrees below the x-axis (i.e. the number should be positive. t = 0s Enter answer here 3dt = 2.5 s Enter answer here2.6 Elliptical Comet 6 A comet moves in an elliptical orbit, so its position vector is: r = a cos (wt ) + b sin (wt)j. Enter an expression for the speed at a time - of the period aftert = 0. For the angular frequency symbol type "omega". Preview will appear here... Enter math expression here2.1 Trajectory Constants 1 When you throw a ball through some trajectory (the angle above the horizontal is between 0 deg and 90 deg) near the surface of the earth, which of the following vectors remain constant? Ignore air resistance. There may be more than one correct answer. horizontal position horizontal velocity horizontal acceleration vertical position vertical velocity vertical acceleration