I need help on this question? -1. The position function for a moving object is r(t) = <7et-2 — t², t² - 3t, ½-½ >. Find the following:a. The value of t when the object has the position vector <3, -2, 1>(1)tb. The velocity and acceleration vectors at the t- value you found above.(4)c. The angle between the velocity and acceleration vectors you found above. Is the object speeding up or slowing down?(2)

Since, acceleration vector at t= 1 is positive (+) that means the object is speeding up. Let's…

Answered: - 1. The position function for a moving…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 7PE: (a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction...

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(a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0° north of east (which is equivalent to subtracting B from A that is, to finding R=AB ). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° south of west and then 12.0 m in a direction 20.0° east of south (which is equivalent to subtracting A from B that is, to finding R=BA=R ). Show that this is the case.
A person drives a car around a circular, level cloverleaf with a radius of 70 m at a uniform speed of 10 m/s. (a) What is the acceleration of the car? (b) Compare this answer with the acceleration due to gravity as a percentage. Would you be able to sense the cars acceleration if you were riding in it?
1. Three vectors are given by, R = 2î + 3j – 6k, R2 = 21 – mj – 8k and R3 = nî + 4.5j – 9k Explain why R, & R2 are not parallel to each other. R || R3 & 2|R2 x R3| = [R, . (R2 × R3 )] + v58.8n, calculate the value of m. Calculate the angles that the vector (R, – R2) makes with î, ĵ & k axis. (b)
5. An object moving in the x-y plane has a position vector given by: 7 = (2t³ - 5t)î+ (6-t¹)ĵ (in meters). Find the particle's a. position vector at t = 0s b. position vector at t = 2s 4 c. displacement vector for this change in position
Determine the magnitude and direction of: R = Ã + B + č if: Ā = (3î – 35)m, B = (î – 4j)m, and Č = (-2î + 5j) O A. 2.23 m at 0 = 315° O B. 2.83 m at 0 = 3350 O C. 2.33 m at 0 = 325° O D. 2.83 m at 0 = 3150
Three vectors A, B, and C. A = 5.0 m, towards 60 degrees below +x B = 6.0 m, towards +y C = 1.0 m, towards -x A is crossed with B and then dotted with C. Determine the final answer. a. no answer O b.30.0 m^3 O c. 15.0 m^3 O d.0.0 m^3
A person starts from his home and walks the following distances: i) 1500 yards, 50° N of E ii) 1800 yards, 50° W of N ii) 1000 yards, due south. What direction is the person relative to his home? O 38° S of E O 55° N of W O 42° S of W O 27° E of S O 72° N of W Save for Later Submit Answer W 版 )l ASUS prt sc sysro 18 f12 pause break delete home O/R
A ball is thrown at an initial height of 100 feet at an initial velocity of 80 feet/second at an angle of 45 degrees. Given the parametric equations y = 16t + Vo sin(0) · t + ho and r Vo cos(0)t. - When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 1 seconds? feet. b. When will the object hit the ground? seconds. c. How far horizontally will the ball be when it hits the ground? feet. d. When will the ball be at its maximum height? seconds. e. What is the ball's maximum height? feet. feet f. How far horizontally will the ball be when it reaches its maximum height?
A particle is projected at an angle of 60 degree and a velocity of 70 m/s and taking gravity as 10m/s^2? a. Compute the maximum height of a particle. b. find the equation of trajectory. c. fnd the height of the particle when the horizontal distance is 70 m. h. Find the horizontal distance distance when the height of the particle is 100m.
Q3:If the two vectors A = 3i + 2 j+ 5k , and B= 2i - j+ 4k, they located in %3D the x and y plane, find the angle between them. Q4: Given that the acceleration is equal to a = dv / dt, derive the basic kinematics equations based on the acceleration.
Which of the following are TRUE? Choose only two (2). Select one or more: a. The range is inversely proportional to the sine of twice the launch angle. b. At constant initial velocity, as the launch angle increases, range also increases. c. The range is directly proportional to the sine of twice the launch angle. d. At constant initial velocity, for launch angles less than 45°, range increases as launch angles increases. For angles greater than 45°, range decreases as launch angles increases. e. At constant initial velocity, as the launch angle increases, range decreases.
1. A projectile is thrown with a speed of 100 ft/s in a direction 30 degrees above the horizontal. Illustrate the projectile motion and answer the following: a. How many feet will it rise? b. How many feet will the maximum horizontal displacement be?

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