Hypothesis: As Slope Increases, Acceleration Increases

Hypothesis: As slope increases, acceleration increases.

Introduction: Speed is the distance traveled per unit time, velocity at any given moment is the slope of the tangent line through any relevant point on the graph, acceleration is the rate at which an object changes its velocity, and instantaneous acceleration is acceleration at any particular instant of time or the limiting value ∆v/∆t as the time interval (∆t) gets vanishingly small.

Speed Formula Velocity Formula Acceleration Formula (also Instantaneous)

Ave. speed= distance Ave. velocity=∆position=displacement Ave. a= ∆velocity=vf-vi

time time time time time

(Ex. 1) How to convert velocity to speed:

Procedure: see lab book

Incline Trial T t-photo Vf a Ave-a

Low 1 2.10s 0.203705s 0.118m/s 0.056 m/s2 0.050 m/s2

2 2.04s 0.246067s 0.098m/s 0.048 m/s2

3 2.09s 0.249254s 0.096m/s 0.046 m/s2

Med 1 1.47s 0.139180s 0.172m/s 0.117 m/s2 0.118 m/s2

2 1.41s 0.141523s 0.170m/s 0.121 m/s2

3 1.42s 0.146681s 0.164m/s 0.115 m/s2

High 1 1.14s 0.114835s 0.209m/s 0.183 m/s2 0.181 m/s2

2 1.15s 0.110380s 0.217m/s 0.189 m/s2

3 1.19s 0.116921s 0.205m/s 0.172 m/s2

d-card: 0.024 m

Data:

Graphs:

.250

.200

Vf

(m/s)