Physics: Motion Formulas

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Questions and Answers

In uniformly accelerated rectilinear motion, what do the graphs of velocity versus time and acceleration versus time typically represent, respectively?

  • Parabolic and sinusoidal functions
  • Exponential and linear functions
  • Hyperbolic and logarithmic functions
  • Linear and constant functions (correct)

In uniformly accelerated rectilinear motion with a positive initial velocity and negative acceleration, the object will always move in the negative direction.

False (B)

In uniformly accelerated rectilinear motion, how is displacement mathematically related to initial velocity, time, and constant acceleration?

$x = x_0 + v_0 \cdot t + \frac{1}{2} a \cdot t^2$

According to the equations of motion, if an object starts from rest and undergoes uniform acceleration, then its final velocity squared is directly proportional to the ________ and the acceleration.

<p>displacement</p> Signup and view all the answers

Match the following graphs of motion with their corresponding type of motion:

<p>Constant velocity vs. time graph = Uniform or constant velocity Variable position vs. time graph with positive slope increasing = Uniform or constant velocity Constant positive acceleration vs. time graph = Uniformly accelerated motion Constant negative acceleration vs. time graph = Uniformly accelerated motion</p> Signup and view all the answers

In a scenario where an object moves with constant velocity, what type of relationship exists between time and displacement?

<p>Linear (A)</p> Signup and view all the answers

During uniformly accelerated rectilinear motion, if the acceleration is zero, the object's velocity will change uniformly over time.

<p>False (B)</p> Signup and view all the answers

What does the slope of a velocity versus time graph represent in uniformly accelerated rectilinear motion?

<p>Acceleration</p> Signup and view all the answers

If an object starts with an initial velocity and undergoes uniformly accelerated rectilinear motion, the ____ of the object changes uniformly with time.

<p>velocity</p> Signup and view all the answers

Match each scenario with the correct type of motion:

<p>Car maintains a steady speed on a straight highway. = Uniform Rectilinear Motion Ball rolling down an inclined plane. = Uniformly Accelerated Rectilinear Motion Object at rest. = Stationary Object thrown upwards with initial velocity. = Uniformly Accelerated Rectilinear Motion</p> Signup and view all the answers

Given an object undergoing uniformly accelerated rectilinear motion, where the initial velocity and acceleration are both positive, which of the following statements correctly describes its motion?

<p>The object's velocity increases over time. (C)</p> Signup and view all the answers

In uniformly accelerated rectilinear motion, the rate of change of acceleration remains constant.

<p>True (A)</p> Signup and view all the answers

What physical quantity does the area under a velocity-time graph represent in the context of uniformly accelerated rectilinear motion?

<p>Displacement</p> Signup and view all the answers

In uniformly accelerated rectilinear motion, if an object starts from rest and covers a distance ( d ) in time ( t ), then the acceleration ( a ) can be expressed as ( a = ) ________.

<p>( \frac{2d}{t^2} )</p> Signup and view all the answers

Match the types of graphs with what they can represent in uniformly accelerated rectilinear motion:

<p>Position vs. Time = Curved Line Velocity vs. Time = Straight Line Acceleration vs. time = Horizontal Line</p> Signup and view all the answers

Suppose a car accelerates uniformly from rest. Which is a correct relationship between the car's displacement (x) and the time (t)?

<p>(x \propto t^2) (D)</p> Signup and view all the answers

An object moving with constant velocity has non-zero acceleration.

<p>False (B)</p> Signup and view all the answers

What is uniform rectilinear motion?

<p>Constant-velocity, straight-line motion</p> Signup and view all the answers

The average mean velocity in a uniform rectilinear motion can be mathematically expressed as ______.

<p>(V_m = \frac{d}{t})</p> Signup and view all the answers

Match what each term means.

<p>(S) = Final Point (S_0) = Initial Point</p> Signup and view all the answers

Flashcards

Point

A location in space

Origin

The initial point

Position Changes

Change in position with time

d = S - So

Distance traveled

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Rectilinear Motion

Motion across a straight line

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Uniform

Constant Velocity

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v = d/t (m/s)

Speed

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Vm = d/t

Average velocity

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S = So + V*t

position equation

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Constant a

The acceleration is constant

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X = Xo + Vot + 1/2 at^2

Final Position = initial position + (initial velocity * time elapsed) + 1/2 (acceleration)(time elapsed)^2

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V = Vo + a*t

Final velocity = initial velocity + (acceleration * time)

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v^2=Vo^2+2*a(x-xo)

Final velocity squared equals Initial Velocity squared added to 2 * acceleration times change in position

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Study Notes

  • Physics Exam 5

Introduction System

  • Preference System is defined by the point of origin
  • Distance traveled is represented as d = S - So

M.R.U./U.R.M (Uniform Rectilinear Motion)

  • Movement occurs across a straight line
  • Uniform means constant velocity (cte)
  • Velocity is constant

U.A.R.M.

  • Motion is accelerated and rectilinear
  • Acceleration is constant

Formulas

  • X = Xo + Vot + ½a*t²
  • V = Vo + a*t
  • V² = Vo² + 2a(X - Xo)

Position and Speed

  • Position changes along a trajectory over time
  • Speed is represented as v = d/t (m/s)
  • Average velocity is represented as Vm = d/t

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