In the figure below, a cue ball is shot toward the eight-ball on a pool table. The cue ball is shot at the eight-ball with a speed of 7.95 m/s in a direction 30.0° from the y-axis. Both balls have the same mass of 0.170 kg. After the balls undergo an elastic collision, the eight-ball travels in the negative x direction into the side pocket. What is the velocity of the cue ball after this collision? (Express your answer in vector form.) \[ \mathbf{v_{f, \, cue}} = \] \[ \begin{array}{c} \\ \\ \end{array} \] m/s **Diagram Explanation:** The diagram shows a top view of a rectangular pool table. There is a cue ball, represented as a solid white circle, positioned on the table. The cue ball is moving towards an eight-ball, marked with the number "8" in a circle at the center of the table. The cue ball's path forms a 30° angle with the vertical y-axis. The eight-ball moves horizontally towards the left pocket after the collision. Four pockets are visible, one at each corner, with an additional two on the sides of the table. The diagram indicates the angle and direction of movement of the cue ball.

Needs Complete solution with 100 % accuracy. Otherwise skip if you can't give complete solution for both of them.

A student walks 550 m [E], then 450 m [N30°W], and finally 350 m [S10°W]. Using the component method, find the resultant (total) displacement). Show your work and round your answer (magnitude and direction) to appropriate significant digits.

Hello, can you please review my work and help me to do graphs for the problems and also I need “d” problem, I can’t deal with it. Thanks for your help!

Part D only please

For part C, why is the sum of 70dB subtracted by two and becomes 68?

Can you explain the math and equations going on in Step 2? I am finding it unclear.

Carl Lewis, a renowned Olympic sprinter in the 1980s and 1990s, ran a 100 m dash that can be accurately modeled with exponential functions using vmax = 11.8 m/s and T = 1.45 s. I Review | Consta What was his speed at t = 6.00 s? Express your answer to three significant figures and include the appropriate units. Value Units Submit Request Answer Part F What was his acceleration at t = 6.00 s? Express your answer to three significant figures and include the appropriate units. HA Value Units a =

1.1 Let's say a cart's position is given by x(t) at3 – Bt. (1) - Assume the constants, a and B, are positive. (a) What must be the general type of unit (like length, mass, time, and combinations of these) for each of the constants, a and B? (b) Draw, by hand, a sketch of the two functions at and –ßt for t > 0. Add the two curves graphically to get a final sketch of x(t). (c) Calculate the cart's velocity vr and acceleration ar. (d) Find an expression for the time t = to at which the cart is momentarily at rest. Check: If a and B had the values 1 and 27, respectively (in the correct SI units), you would find t = 3 s. (e) Give the expression for the cart's position x(to) at the time t = to. Always simplify your answer, - and confirm that the units are correct.

I recently asked this question, but the answers are not loading.  I don't understand part a, and the formulas used. I guess I don't understand how to derive the formulas into what you need. Could you explain, step  by step?