Consider an object moving along a line with the given velocity v. Assume t is time measured in seconds and velocities have units of Complete parts a through c. S a. Determine when the motion is in the positive direction and when it is in the negative direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. v(t) = 3t²-36t+105; [0,8] a. When is the motion in the positive direction? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. For t-values that satisfy. (Use a comma to separate answers as needed. Type your answers in interval notation.) OB. The motion is never in the positive direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. v(t) = 3t²-36t+105; [0,8]

Consider an object moving along a line with the given velocity v. Assume t is time measured in seconds and velocities have units of Complete parts a through c. S a. Determine when the motion is in the positive direction and when it is in the negative direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. v(t) = 3t²-36t+105; [0,8] a. When is the motion in the positive direction? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. For t-values that satisfy. (Use a comma to separate answers as needed. Type your answers in interval notation.) OB. The motion is never in the positive direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. v(t) = 3t²-36t+105; [0,8]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Q: for the following equation, what are the units of x., u, and a if X, is the distance in m. t, is the time in second? [X. x3 = + u?t +
5. The angular displacement of a body is a function of time and is given by equation : 8 = 10 + 31 + 6 , where t is in seconds. Determine the angular velocity, displacement and acceleration when t= 5 seconds. State whether or not it is a case of uniform angular acceleration. [Ans. 63 rad/s ; 175 rad ; 12 rad/s']
Use of Infinite Sequences and Series in Problem Solving of Special Theory of Relativity. A spacecraft travels fast the earth has a greater velocity (ⱱ) which approximates the speed of light. The time (to) measured in the spacecraft is different from the time (t) measured on earth. The time difference is given, to = t √1- ⱱ 2/c2 = t (1 – ⱱ 2/c2)1/2.
A silver dollar is dropped from the top of a building that is 1377 feet tall. Use the position function below for free-falling objects. s(t) = -16t + Vot + so (a) Determine the position and velocity functions for the coin. s(t) = v(t) = (b) Determine the average velocity on the interval [2, 3]. ft/s (c) Find the instantaneous velocities when t = 2 seconds and t = 3 seconds. v(2) = ft/s v(3) = ft/s (d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.) t = (e) Find the velocity of the coin at impact. (Round your answer to three decimal places.) ft/s
A pendulum in your house swings from one side to the other in a span of 0.8 seconds. If this pendulum will be brought to moon, how long should the string be in meters to maintain the same period? Acceleration due to gravity at moon is 1.62m/s2 A pendulum in your house swings from one side to the other in a span of 0.8 seconds. If this pendulum will be brought to Mars, how long will the new period be in seconds? Acceleration due to gravity at Mars is 3.7m/s2 A pendulum in your house swings from one side to the other in a span of 0.8 seconds. How long is the string that is attached to the mass? A particle moves with a simple harmonic motion through space. When time was zero, its position was at the equilibrium position with a 15cm/s velocity. What is its velocity in cm/s after 5 seconds? The object is vibrating at 3.5pi rad/s A particle moves with a simple harmonic motion through space. When time was zero, its position was at the equilibrium position with a 15cm/s velocity. What…
2. A shell leaves a mortar with a muzile velocity of 150m/s directed upward at 60° with the horizontal. Determine the position of the shell and its resultant velocity 20 sec after firing. How high will it rise? [1500m, 100 m/s, 860 m].
8. In the figure below, the velocity of the boats shown are = 37 m/s and v= 56 m/s. Answer the following questions. a. What is the velocity of Car A in = v,i + v,j format? Show your work. Velocity in inv=v₂i+vyj format Velocity in inv=vxî + vyj format Units b. What is the velocity of Car B in v = vxî + vyĵ format? Show your work. Velocity in inv=vxl+vyj format Units 30° P Units A = 37 m/s 45° c. What is the velocity of Car B with respect to Car A in v = vî + vyĴ format? Show your work. ** = 56 m/s
The following figure represents the path of a car moving from point A to D. If the unit used is the kilometer, find the Displacement and distance?
1. For this series of 3 questions, a jet bike is moving along a straight road with the speed described by the v-s function v(s) = 2. s2/3, (v in [m/s] and sin [m]). Your final goal is to determine the velocity (v) at a specified time. But before that, you need to answer some other questions. 3) determine the velocity (v) when the time t = 7.1 s. Your answer must include 2 places after the decimal point, and the proper unit. Your Answer: Answer units
The velocity of a particle is v = {2i + (6 – 2t)j} m/s, where t is in seconds.
(xo, Yo) Ay = Number (x,y) CC) 00 BY SA USask Engineering Given the above graph plotting y position against a position, where 0 = 0 m, 30 = -4 m, z = 5 m, and y0 = 0 m, what the change in vertical position over this time interval? Write your answer as an integer. m →X
1 Velocities are measured at different locations using a data logger and the field is given by the technician in the following vector form. Given that. du du ax = +u-+v. +w du du ôt əx ду əz V = 3tî +xzj+t Find the magnitude of velocity and acceleration at point (1,1,1) at time t = 1 second. Write the acceleration vector. If the fluid is incompressible, show that the flow field satisfies the conservation of mass. zj+ty²k m/s Əv dv dv Əv +u- +v +w- at Əx ду əz dw dw dw dw + w a ₂ = +u Ət Əx dy əz +v