Work on 1 and 2 because they are both related to each other ### Activity 1: Calculation of projectile equation **The purpose of this activity is to calculate the equation for the final horizontal position of a projectile using only the knowledge of its initial height, angle of projection, and acceleration.**#### Horizontal Motion:\[ x_f = x_0 + v_{x0}t \quad \text{Eqn. A} \]\[ v_{x_f} = v_{x0} \]#### Vertical Motion:\[ y_f = y_0 + v_{y0}t + \frac{1}{2}a_y t^2 \quad \text{Eqn. B} \]\[ v_{y_f} = v_{y0} + a_y t \quad \text{Eqn. C} \]\[ v_{y_f}^2 = v_{y0}^2 + 2a_y (y_f - y_0) \quad \text{Eqn. D} \]where $ v_{y0} $ and $ v_{x0} $ are the initial vertical and horizontal components of the velocity respectively, $ x_f $ and $ x_0 $ are the final and initial horizontal positions, $ y_f $ and $ y_0 $ are the final and initial vertical positions.1. Notice that Equations A and B have a common variable, $ t $. Equation A predicts the $ x $ coordinate in terms of the parameter $ t $, and Equation B predicts the $ y $ coordinate in terms of the parameter $ t $. Combine these two equations to remove the $ t $ variable from the equation. Solve Equation A for $ t $ and substitute it into Equation B: What equation for $ y_f $ do you get?The components of the velocity can be written in terms of the original launch velocity as:\[ v_{x0} = v_0 \cos \theta \]\[ v_{y0} = v_0 \sin \theta \]The components of $ x_f - x_0 $ can be written as $ \Delta x $.2. These components, when combined with the equation you determined above (#1) yield an equation for $ y(x) $ determined completely by $ v_0 $ and $ \theta $ (the initial launch speed and angle). Write this equation below:\[ \quad \]

Answered: Image /qna-images/answer/6b455258-1366-4788-b379-51b4c8f20935.jpg

Answered: Horizontal Motion: X₁ = xo +Vxot Vxf =…

Similar questions

The gravitational field of a spherical object at any distance from it points back to the center of the object. That is, in the field simulator it has arrows toward the center of the sphere. Put a test mass in this field and it will fall toward the center with increasing speed following the line of force. Locally, the field is the acceleration of gravity at that point. Now, how would you move a small mass so that you would not have to do work on it during the move? That work would be the change its energy. You would move it radially toward the center. You would move it radially away from the center. You would move it perpendicularly to the line of force, that is, move it in a local plane that is perpendicular to the radius at that point. There is no way to do this. Any displacement direction will take work.
(a) Compute the electrical energy used by a household whose monthly electrical bill is $43, computed at the rate of $0.05 per kWh.(b) How long could this energy be used to burn ten 60 W light bulbs?(c) If this energy were used to raise a car of mass 1985 kg, to what height would the car be raised?
Would work remain the same and why?
1. Two persons were practicing social distancing to alleviate the spread of COVID-19. Social distancing requires a minimum of 3 feet distance from person to person. However, due to their eagerness to share some rumors, the two persons decided to approach each other and now within the intimate distance (12 inches). If person A weighs 60 kg. and person B weighs 68 kg, determine the work done for this act. Take G = 6.67408 x 10-11 m³ kg¬'s-2. A. 6.8076 ergs B. 8.0766 ergs C. 5.9559 ergs D. 5.5599 ergs 2. Find the moment of mass from the x-axis for y = x In(x) – 3x and y = 1 bounded by x = 3 and x = 6. The surface density is equal to 0.37 kg/units'. A. 24.0793 kg. В. -38.6209 kg C. 27.8043 kg. D. -36.8902 kg. 3. In 2019, SCUBA divers from Mexico explores the Atlantic Ocean (64 lb/ft) and finds a circular clock thought to be the ancient remnants of the legendary Atlantis. If the clock measures 1.3 ft. in diameter and depth is measured to be 1250 ft. from the surface to the center of this…
Question in image
1.
A 8 kg particle is in a potential given by U(x) = 1 x^4 - 7 x^2 - 3 x + 8 (J). Calculate the acceleration of the particle when it is at x = 1 m, in m/s2. (Please answer to the fourth decimal place - i.e 14.3225)
a)What is the area of a solar collector that could collect 110 MJ of energy in 1 hr? This is roughly the energy content of 1 gallon of gasoline. Express your answer with the appropriate units.
please help with this question
2. A particle moves along line segments from the point (2,0,0) to the points (2,2, 2), (0,2,2), and back to (2,0,0) under the influence of the force field F(x, y, z)= 2e'i+(3z + 4x)j+(y+3x)k Find the work done.
Needs Complete typed solution with 100 % accuracy.
Now imagine the same root as in Question attached being placed in a dry soil in which the little soil water present has a water potential of –1.0 MPa. Would water move from the soil into the root or would it move from the root into the soil?

SEE MORE QUESTIONS