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Name: Show your work for full credit!!! 1. If the position function for a moving particle...
11. Suppose the position function of a particle moving along a straight line is given s(t)...
11. Suppose the position function of a particle moving along a straight line is given s(t) = t3 - 3t2 + 8, where s is in meters and t is in seconds. Include units in your responses. (a) How far has the particle traveled in 1 second? (b) What is the velocity of the particle at 1 second? (c) What is the acceleration of the particle at 1 second? (d) is the particle speeding up or slowing down or neither...
(9 points) The function (t) describes the position of a particle moving along a coordinate line,...
(9 points) The function (t) describes the position of a particle moving along a coordinate line, where ® is in feet and t is in seconds t> 0 8(t) = +"- 8t+ 16, If appropriate, enter answers in radical form. Use inf to represent co. (a) Find the velocity and acceleration functions. u(t): a(t): (b) Find the position, velocity, speed, and acceleration at t=1. Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec): (c) At what times is the particle stopped?...
Show all work for full credit. 1. A particle is moving so that its velocity (in...
Show all work for full credit. 1. A particle is moving so that its velocity (in feet/sec) is v(t) = ť? – 7t + 10, where t is time in seconds. a. Find the displacement (change in position) of the particle over the first 9 seconds. Give units. (2 points) b. Find the total distance traveled by the particle in the first 9 seconds. Give units. (2 points)
Show all work. The function s = f(t) gives the position of a moving object 9)...
Show all work.
The function s = f(t) gives the position of a moving object 9) A particle moves according to a law of motion s = f(t) fort > 0 where t is measured in seconds and s in feet. f(t) = 13 - 912 + 150 (a) Find the velocity at time t. v(t) = (b) What is the velocity after 3 seconds ? (3) = (c) When is the particle at rest? (d) When is the particle...
A particle moves with position given by s(t) = t 1 with t > 0. +...
A particle moves with position given by s(t) = t 1 with t > 0. + where s is in meters and t is in seconds (a) Find the velocity function u(t). (b) Find v(2). Include units in your answer. (c) Find the acceleration function a(t). (d) When is the particle at rest? (You only need to consider t 0.) (e) Find the total distance traveled by the particle on 0 STS 3.
A particle moves according to a law of motion s = ft), t 0, where t...
A particle moves according to a law of motion s = ft), t 0, where t is measured in seconds and s in feet. t)-te-t2 (a) Find the velocity at time t (in ft/s) v(t) e (b) What is the velocity after 2 s? (Round your answer to two decimal places.) v(2) ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total...
The position function of a particle undergoing Simple Harmonic Motion is given below: D. 2 =...
The position function of a particle undergoing Simple Harmonic Motion is given below: D. 2 = 5 sin (36), where x is in m, and t is in s. Round your answers to the nearest tenth. Do not include units in your answers. (1) What is the particle's period of motion, in s, ? (2) Where will the particle be at t=3s, in m, ? (3) How fast will the particle move at t=1 s, in m/s, ? (4) What...
1. A particle is moving along a (horizontal) x-axis. Its position as a function of time...
1. A particle is moving along a (horizontal) x-axis. Its position as a function of time is given by the equationAt2 B where A-2.10 and B-2.80 and t is in seconds. (i) What are the proper units for A and B in SI units (show your work) (ii) Determine the displacement of the particle during the time interval from -3.00 s to 12 5.00 s. iii) Determine the average velocity (think secant line!) during this time interval (iv) Determine the...
**Show all work and label answers for full credit. Box in your final answers." 1. When...
**Show all work and label answers for full credit. Box in your final answers." 1. When a person takes an ibuprofen pill, the amount of ibuprofen (in milligrams) in the person's bloodstream can be modeled by the function P(t) = 400(0.71)' where t represents the time in hours after the pill is taken. a. How much ibuprofen is taken initially? (2 pts.) 400 b. According to this model, is the amount of ibuprofen increasing or decreasing over time? (2 pts.)...
Name: Be sure to show your work for potential partial credit! 1. An engineer is going to redesign an ejection seat for...
Name: Be sure to show your work for potential partial credit! 1. An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 138 lb and a standard deviation of 30.9 lb. a. If a pilot is randomly selected, find the probability that his weight is between 130 Ib and 191 lb. (Round...
11. Suppose the position function of a particle moving along a straight line is given s(t) = t3 - 3t2 + 8, where s is in meters and t is in seconds. Include units in your responses. (a) How far has the particle traveled in 1 second? (b) What is the velocity of the particle at 1 second? (c) What is the acceleration of the particle at 1 second? (d) is the particle speeding up or slowing down or neither...
(9 points) The function (t) describes the position of a particle moving along a coordinate line, where ® is in feet and t is in seconds t> 0 8(t) = +"- 8t+ 16, If appropriate, enter answers in radical form. Use inf to represent co. (a) Find the velocity and acceleration functions. u(t): a(t): (b) Find the position, velocity, speed, and acceleration at t=1. Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec): (c) At what times is the particle stopped?...
Show all work for full credit. 1. A particle is moving so that its velocity (in feet/sec) is v(t) = ť? – 7t + 10, where t is time in seconds. a. Find the displacement (change in position) of the particle over the first 9 seconds. Give units. (2 points) b. Find the total distance traveled by the particle in the first 9 seconds. Give units. (2 points)
Show all work.
The function s = f(t) gives the position of a moving object 9) A particle moves according to a law of motion s = f(t) fort > 0 where t is measured in seconds and s in feet. f(t) = 13 - 912 + 150 (a) Find the velocity at time t. v(t) = (b) What is the velocity after 3 seconds ? (3) = (c) When is the particle at rest? (d) When is the particle...
A particle moves with position given by s(t) = t 1 with t > 0. + where s is in meters and t is in seconds (a) Find the velocity function u(t). (b) Find v(2). Include units in your answer. (c) Find the acceleration function a(t). (d) When is the particle at rest? (You only need to consider t 0.) (e) Find the total distance traveled by the particle on 0 STS 3.
A particle moves according to a law of motion s = ft), t 0, where t is measured in seconds and s in feet. t)-te-t2 (a) Find the velocity at time t (in ft/s) v(t) e (b) What is the velocity after 2 s? (Round your answer to two decimal places.) v(2) ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total...
The position function of a particle undergoing Simple Harmonic Motion is given below: D. 2 = 5 sin (36), where x is in m, and t is in s. Round your answers to the nearest tenth. Do not include units in your answers. (1) What is the particle's period of motion, in s, ? (2) Where will the particle be at t=3s, in m, ? (3) How fast will the particle move at t=1 s, in m/s, ? (4) What...
1. A particle is moving along a (horizontal) x-axis. Its position as a function of time is given by the equationAt2 B where A-2.10 and B-2.80 and t is in seconds. (i) What are the proper units for A and B in SI units (show your work) (ii) Determine the displacement of the particle during the time interval from -3.00 s to 12 5.00 s. iii) Determine the average velocity (think secant line!) during this time interval (iv) Determine the...
**Show all work and label answers for full credit. Box in your final answers." 1. When a person takes an ibuprofen pill, the amount of ibuprofen (in milligrams) in the person's bloodstream can be modeled by the function P(t) = 400(0.71)' where t represents the time in hours after the pill is taken. a. How much ibuprofen is taken initially? (2 pts.) 400 b. According to this model, is the amount of ibuprofen increasing or decreasing over time? (2 pts.)...
Name: Be sure to show your work for potential partial credit! 1. An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 138 lb and a standard deviation of 30.9 lb. a. If a pilot is randomly selected, find the probability that his weight is between 130 Ib and 191 lb. (Round...
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