Graphing Position, Velocity, and Acceleration Graphs Video Lessons

Concept

# Problem: 1. The slope at a point on a position-versus-time graph of an object isa. the object's speed at that point.b. the object's average velocity at that point.c. the object's instantaneous velocity at that point.d. the object's acceleration at that point.e. the distance traveled by the object to that point.2. The area under a velocity-versus-time graph of an object isa. the object's speed at that point.b. the object's acceleration at that point.c. the distance traveled by the object.d. the displacement of the object.3. Is it possible for an object's instantaneous velocity and instantaneous acceleration to be of opposite sign at some instant of time?a. Yes.b. No.c. Need more information

###### FREE Expert Solution

1.

Slope of a position-versus-time graph is given as:

$\overline{){\mathbf{s}}{\mathbf{l}}{\mathbf{o}}{\mathbf{p}}{\mathbf{e}}{\mathbf{=}}\frac{\mathbf{∆}\mathbf{x}}{\mathbf{∆}\mathbf{t}}}$

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###### Problem Details

1. The slope at a point on a position-versus-time graph of an object is

a. the object's speed at that point.

b. the object's average velocity at that point.

c. the object's instantaneous velocity at that point.

d. the object's acceleration at that point.

e. the distance traveled by the object to that point.

2. The area under a velocity-versus-time graph of an object is

a. the object's speed at that point.

b. the object's acceleration at that point.

c. the distance traveled by the object.

d. the displacement of the object.

3. Is it possible for an object's instantaneous velocity and instantaneous acceleration to be of opposite sign at some instant of time?

a. Yes.

b. No.