A particle is moving along a straight line such that its acceleration is defined as a = (-2v) m/s?, where v is in meters persecond. Suppose that v = 20 m/s when s = 0 and t = 0.Part ADetermine the particle's position as function of time.Express your answer in terms of t, where t is in seconds.Part BDetermine the particle's velocity as function of time.Fxpress your answer in terms of t, where t is in seconds.m/sPart CDetermine the particle's acceleration as function of time.Express vnur answer in terms of t, where t is in seconds.a =m/s?

Given: A particle is moving along a straight line such that its' acceleration is defined as a(v) =…

Answered: A particle is moving along a straight…

Similar questions

Driving down the road at a speed of 23.9 m/s, you suddenly notice a fallen tree blocking the road a distance of 82.0 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 6.6 m in front of the tree? a. 3.79 m/s^2 b. 3.48 m/s^2 c. 3.22 m/s^2 d. 7.58 m/s^2
I Review I Constants A particle moving along the x-axis has its velocity described by the function v. 2t? m/s, where t is in s. Its initial position is xo = 2.4 m at to = 0 s . Part A You may want to review (Pages 55 - 56) . Part B Part C At 2.2 s , what is the particle's acceleration? Express your answer with the appropriate units. HA ? Value Units a = Submit Request Answer
A kangaroo can jump over an object 2.7 m high. a. Calculate its vertical speed when it leaves the ground, in meters per second. b. How many seconds is it in the air?
A cat walks in a straight line, which we shall call the -axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Figure 1). I. Calculate the area under the graph between t = 0 and t = 6.0 s. (Express your answer to two significant figures and include the appropriate units.) II. For the time interval t = 0 to t = 6.0 s, what is the magnitude of the average velocity of the cat? (Express your answer to two significant figures and include the appropriate units.) III. Use constant-acceleration equations to calculate the distance the cat travels in this time interval. (Express your answer to two significant figures and include the appropriate units.)
2. V A particle moves according to the equation ¤ = 10t², where is in meters and t is in seconds. (a) Find the average velocity for the time interval from 2.00 s to 3.00 s. (b) Find the average velocity for the time interval from 2.00 to 2.10 s.
a. What is the maximum speed in meters/second? b. At t = 1, the particle is (moving to the) (right/left/stopped) c. What time intervals is the particle's acceleration negative? < t < and < t < d. At t = 6, the particle is (moving to the) (right/left/stopped) e. At t = 1.5, the particle is (speeding up/slowing down) f. At t = 5.5, the particle is (speeding up/slowing down)
K A toy rocket is launched from the top of a building 144 feet tall at an initial velocity of 231 feet per second. a) Give the function that describes the height of the rocket in terms of time t. b) Determine the time at which the rocket reaches its maximum height, and the maximum height in feet. c) For what time interval will the rocket be more than 517 feet above ground level? d) After how many seconds will it hit the ground?