Question: a ( t ) = 4 t For which values were the initial velocity does the particle have a negative displacement to its initial position

a(t)=4t

For which values were the initial velocity does the particle have a negative displacement to its initial position after 2 seconds

a) V0 = -8/3

b) V0 = -16/15

c) V0 = -4/3

d) V0 = 8/3

I am a little confused at what this question is asking for and how to do it. I feel like I would need to find the antiderivative of a(t) but i do not know where to go from there

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

[-/1 Points] DETAILS SCALCET9 3.9.022.MI. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat....

M9L7 The references: Summary The direction in which a current carrying wire is forced when it is in a magnetic field can be determined by using a right hand rule. Step 1: First orient your hand so...

(1 point) A frictionless spring with a 4-kg mass can be held stretched 0.4 meters beyond its natural length by a force of 30 newtons. the spring begins at its equilibrium position, but a push gives...

3. The acceleration of a particle moving along a straight line is given by a(t) = 3t2 cm/sec, where t is time in seconds, with initial velocity v(0) = 6 cm/sec and initial position s(0) = 2 cm. What...

1) The position function t) = (tit?) describes the path of an object mowing in the plane. Find the velocity of the object at the point [8, 4). Find the velocity and position vectors of a particle...

1. Use the component method to find the displacement when a person travels 5m in the +x direction and then 17m in the +y direction. a)3.2 m, along the yx axis b)22m, 74 above the +x axis c)17.7m,...

In Exercises 1 - 16, plot the point given in polar coordinates and then give three different expressions for the point such that (a) r 0 and 0 (c) r > 0 and 2 9. (20, 3) In...

THE EXPERIMENT For this experiment, we are going to use projectile motion simulation at h_ttps://www.gmgebra.org/m/aaymj In Part I, the initial speed \"v0\" of a ball will be measured by projecting...

1. What is a tangent line and what is it used for? Sketch an example. 2. What value is the slope of a v vs t graph for a free-falling object? Why? 3. If wind resistance was included in the previous...

1. List all the motion/kinematic equations on your formula sheet. NotVe V It, art, devot + zat, Uf = Votat 2 2. List EVERY variable used in the above equations telling what each represents, along...

A company in US is acquiring a company in UK and the US company is attempting to value the UK company in USD. After repatriation, taxes and country related risks are taken into consideration, the...

The July production of Bait Buckets for Flying Anglers Supply Division consisted of batch X337 (2,200 deluxe) and batch Z444 (4,400 basic). Each batch was started and finished during July, and there...

How does a conglomerate benefit from following an uncelated diversufication strategy? Multiple Choice The conglomerate can share most of its compenencies in products, services, technology, or...

Problem 8 - 2 7 ( Algo ) Accounts receivable financing [ LO 8 - 1 ] Charming Paper Company sells to the 1 2 accounts IIsted here. \ table [ [ , \ table [ [ Receivable Balance ] , [ Outstanding ] ] ,...