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can you answer both #1 (a&B) and #2 please
1. Write MATLAB code to do the following: (4 pts) a) Find the area of the circles where r=[7, 8, 10] using A = tr2 b) Find the distance traveled by a ball falling in the air is given by the equation x=x0+vot+ at?. Calculate the position of the ball at time t = 5s, XO = 10m, vo= 15 m/s, and a = 9.81 m/sec^2. Write MATLAB code to accomplish...
9. The figure below shows the trajectory of a ball undergoing projectile motion. The time t-0s corresponds . Its launch velocity, also called are also indicated in the figure which are X0m and y- 0 m. to the moment just as the ball is launched from position the initial velocity, is g. The other two points along the trajectory corresponding the velocity of the ball at the peak ) it strikes the ground (2) at t How do the speeds...
If an object is thrown with a velocity of v feet per second at an angle of θ with the horizontal, then its flight can be modeled by, x = (v cos θ ) t and y = v (sin θ ) t - 16 t2 + h where t is in seconds and h is the object's initial height in feet above the ground. x is the horizontal position and y is the vertical position, and - 16 t2...
Suppose an object is dropped from an airplane with initial position, y(0) = 1200 ft. Assuming linear air resistance pv ft/sa, the formulas for velocity and position are, v(t) = (vo – Vr) e-pt +ve and 1 Yo + vrt +- (vo – v-) (1 - e-pt) Use p= 0.31 , g = 32 ft/s2 to answer the following. What is the position of the object at t = 4 sec.? (Give two decimal places.) When will the object reach...
y. (north) NOT 2. A Canada goose is flying horizontally with a velocity directed 350 north of straight east as illustrated in the diagram The x-component of the goose's velocity is 50. mi/h. mih What is the speed v that the goose flying in approximately the northeast direction? Please express your answer for v to 3 Significant digits. x (east) Ve soo mi/h. Y GEN 4. At time 1-0, a ball located a distance H to y = ymax above...
A ball is thrown with an initial velocity, V, of 160 ft./sec, directed at an angle, 0, of 53° with the ground. (a) Find the x and y components of vo. (b) Find the position of the ball and the magnitude and direction of its velocity when t = 2 seconds. (c) At the highest point of the ball's path, what is the ball's altitude h, and how much time has elapsed? (d) What is the ball's range d? (see...
3. A ball of mass m=0.5kg is thrown at 1 meter above the ground (meaning X; = 0, Y; = 1m) and with an initial velocity of Vo=600 m/s along degree (with respect to the horizontal X-axis). a) Starting from Newton's second law, find V (t), Vy(t), X(t), and Y(t). b) From a), find the range R and the maximum height Y max the ball can reach. c) i) Plot the trajectories of the ball using the results in a)...
A particle of mass m is in a potential energy field described by, V(x, y) = 18kx² +8ky? where k is a positive constant. Initially the particle is resting at the origin (0,0). At time t = 0 the particle receives a kick that imparts to it an initial velocity (vo, 2vo). (a) Find the position of the particle as a function of time, x(t) and y(t). (b) Plot the trajectory for this motion (Lissajous figure) using Vo = 1,...
ENES 100 Due 11/14/2018 Homework #6 Submit all your work in a thumb drive or via email using the appropriate filenames 1. When an object is launched from the ground with an initial velocity of vo at an angle of 0o, the horizontal and vertical displacements of the object travel before it hits ground can be written as functions of time t: x(t) - vo t cos(e) Uo Figure 1: Projectile of an object. A baseball has been tossed with...
1. [25 points) Idealized frictionless free fall of an object that is dropped from being at rest at i = 0. For the following question, to model the free fall of a falling rock, assume the usual idealizing simplifications for solving "free fall" problems. Consider the following experiment. A rock with a mass of m= 2 kg is dropped at the time t = 0 from a height of 140 m above ground. Assume that the rock is simply dropped...