2. A particle moves along the path y = 3x2- x with the horizontal component of the velocity equal to 1 . Find the acceleration at the points where the velocity v is horizontal.
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![2. A particle moves along the path y = 3x2-x with
the horizontal component of the velocity equal to
1
. Find the
acceleration at the points where the velocity v is horizontal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbeafba62-7fc4-4169-a312-4b2f980f9545%2Fe041a9b0-fabf-40fd-9e72-c982dfa5a18a%2Fkdy2w0r_processed.jpeg&w=3840&q=75)
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- A rocket starts from rest and moves upward from thesurface of the earth. For the first 10.0 s of its motion, the vertical accelerationof the rocket is given by ay = 12.80 m/s32t, where the+y-direction is upward. What is the height of the rocket above the surface of the earth at t = 10.0 s?24. A shell is fired with a horizontal velocity in the positive x direction at a speed of 330 m/s from the top of an 80- m high cliff. The shell strikes the ground 1330 m from the base of the cliff. What is the magnitude of the velocity of the shell as it hits the ground? Hint: you need to determine horizontal and vertical components of the final velocity first, from the kinematic equations, then calculate magnitude of the velocity. While the horizontal velocity remains constant, the vertical velocity does not. You will need time of flight to determine the latter. 80 m 1330 m A) 4.0 m/s B) 9.8 m/s B) 9.8 m/s C) 82 m/s D) 170 m/s (E) 332 m/sA particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 1.9t²-3.1t and y-6.1t2-t3/1.2. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t - 4.3 s. Answers: When t = 4.3 s, V= a- i mm/s, ex- mm/s², 0,- i
- Chinook salmon can cover more distance in less time by periodically making jumps out of the water. Suppose a salmon swimming in still water jumps out of the water with velocity 6.03 m/s at 40.6° above the horizontal, re-enters the water a distance L upstream, and then swims the same distance L underwater in a straight, horizontal line with velocity 2.92 m/s before jumping out again. Where L=3.67 m; t1= 0.801 sec this is a time when fish are over the water; t2= 1.256 sec; Ttotal =2.057 sec; the average horizontal velocity is 3.57 m/s. Consider the interval of time necessary to travel 2L. How is this reduced by the combination of jumping and swimming compared with just swimming at the constant speed of 2.92 m/s? Express the reduction as a percentage.I2. A particle moves in uniform circular motion, over a horizontal xy- plane. At one instant it moves through the points (2.0 m, 4.0 m) with a velocity of -6.00i m/s and an acceleration of 18.0j m/s?. a) Draw the circular path of the particle and label the velocity vector and the acceleration vector. b) Calculate the x and y-coordinates of the center of the circular path. c) Calculate the period of rotation.
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- 2 M S F2 7. The captain of a small plane starts his journey by proceeding west. The speed of the plane with respect to still air is 170 km/h. A sudden south wind starts to blow at a constant speed of 87.5 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot? km/h 3 8. b) As seen by people on the ground, what is the angle made between the direction of motion of the plane with repect to the west? 9. c) At what angle with respect to the west must the pilot head his plane in order for it to proceed west as seen by the people on the ground? E 80 F3 D $ 4 F4 R F % O 5 F5 T G 6 MacBook Air IS Y & 7 H F7 U * 8 J DII FB ( 9 K F10 L P F12Spring Gun: A spring gun can launch a projectile with a speed of 21.52 m/s. It is placed at the edge of a table and launches a projectile horizontally. The table is 1.6m high, and the projectile travels a distance of 18.10 m before it hits the ground.The lab is on an asteroid.What is the acceleration due to gravity on this asteroid?Please answer the following. If not then answer number 3 only.