Understanding Acceleration and Motion with a Constant Acceleration Formula

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SUMMARY

The discussion focuses on solving a physics problem involving constant acceleration, specifically using the formula a = B√t, where B = 1.25. Participants analyze the dimensions of B, the relationship between acceleration and speed, and how to derive speed and position as functions of time. Key calculations include determining acceleration, speed, and position at t = 6.75 seconds, as well as calculating average speed over the interval from t = 0 to t = 6.75 seconds.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Familiarity with dimensional analysis
  • Knowledge of calculus, specifically integration for deriving functions
  • Basic concepts of motion, including acceleration, speed, and position
NEXT STEPS
  • Study dimensional analysis in physics to determine units of constants
  • Learn about kinematic equations for uniformly accelerated motion
  • Explore integration techniques to derive speed and position functions from acceleration
  • Research average speed calculations over time intervals in motion problems
USEFUL FOR

Students studying physics, particularly those tackling problems related to motion and acceleration, as well as educators looking for examples of applying kinematic equations in real-world scenarios.

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Homework Statement


the acceleration of a particle is given by a=B√t where B=1.25, with the appropriate units. At t=0s, v=7m/s and x=1.5m

a) what are the dimensions for "B" appearing in the formula a=B√t ?

b) what is the speed as a function of time?

c) What is the position as a function of time?

d) what are the acceleration, speed, and position at t=6.75s?

e) what is the average speed for the time interval t=0s to t=6.75s?

Really need a quick explanation of this problem... no idea where to start!


Homework Equations


i have no idea :(


The Attempt at a Solution

 
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Welcome to PF. Sometimes the difficulty is just getting started.

a. "dimensions" is this context, is related to the units - work out the units of B, then express them in terms of M L and T (mass, length and time).

b. how is speed related to acceleration?

c. how is distance related to speed

d & e come from the last answers.
 

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