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n anwering the following questions, assume that the acceleration is constant and

ID: 3278950 • Letter: N

Question

n anwering the following questions, assume that the acceleration is constant and nonzero: a0.

/21 Checkout l Forever21 Course Home × y MasteringPhysics: Chapte e Chegg Study | Guided Sol/X In Anwering The Following X Sunena C Secure l https://session.masteringphysics.com/myct/itemview?offset-next&assignmentProblemID-81; 317720 One-Dimensional Kinematics with Constant Acceleration previous: 90f 10 | next » One-Dimensional Kinematics with Constant Acceleration Part E Which of the given equations is not an explicit function of t and is therefore useful when you don't know or don't need the time? Learning Goal To understand the meaning of the variables that appear in the equations for one-dimensional kinematics with constant acceleration. UDat Motion with a constant, nonzero acceleration is not uncommon in the world around us. Falling (or thrown) objects and cars starting and stopping approximate this type of motion. It is also the type of motion most frequently involved in introductory kinermatics problems. Submit My Answers Give Up The kinematic equations for such motion can be written as Part F A particle moves with constant acceleration a. The expression + at represents the paricle's velocity at what instant in time? t)at, e the symbols are defined as follows: (t) is the position of the particle . v(t) is the velocity of the particle; only at time t = 0 O only at the initial" time 0 when a time t has passed since the particle's velocity was t wher is the initial position of the particle; · Submit My Answers GiveUp i is the invtial velocity of the particle; is the acceleration of the particle. More generally, the equations of motion can be written as and Here is the time that has elapsed since the beginning o the particle's motion, that is, t t ti, where t is the current time and ti is the time at which we start measuring the particle's motion. The terms and vi are, respectively, the position and velocity at t ti As you can now see, the equations given at the beginning of this problem correspond to the case t 0, which is a convenient choice if there is only one particle of interest. To illustrate the use of these more general equations, consider the motion of two particles, A and B. The position of particle A depends on time as At)+(1/2)at2. That is, particle A starts moving at time0 with velocity vIA vi,from .Attme t partile B has twice the acceleration, half the velocity, and the same position that particle A had at time t = 0 Part G Knight.ch02.ppt Show All x

Explanation / Answer

Part E. The correct option is v2=vi2+2a(x-xi).

This equation is independent of t. This equation can be used when we do not have any information about t.

Part F. The correct option is when a time t has passed since the particle's velocity was vi.

In equation v = vi + at, t is the time difference from the time when the velocity was vi or the initial velocity is vi when the time t=0.