How Do You Solve for Acceleration and Velocity in Basic Physics Equations?

In summary, using the equations Δd=v¹Δt+½a(t)² and E= ½ m * v², we can solve for a by rearranging the first equation and using the definitions of velocity and acceleration, and for v by rearranging the second equation and using the definition of kinetic energy.
  • #1
mrthomas
1
0

Homework Statement



Question #1:

Δd=v¹Δt+½a(t)²

Solve for: a

Question #2:

E= ½ m * v²
Solve for: v



Homework Equations



Δd=v¹Δt+½a(t)²
v = Δd / Δt
a = v² - v¹ / Δt
v² = v¹ + a * Δt
Δd = (v² - v¹) * Δt
Δd = v¹ * Δt + ½ a ( Δt )²
E= ½ m * v²

The Attempt at a Solution



I'm not sure how to resolve this one.
 
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  • #2
Just solve for a in the first equation... just like normal algebra... rearrange the equation etc...
 
  • #3
Δd=v¹Δt+½a(t)²
One needs to be consistent.

This equation assumes constant acceleration, and t would be the elapsed time from application of the acceleration. v1 would normally the initial velocity (or speed) at the reference time, and d would be the distance at time t.

See this - http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html

and

http://hyperphysics.phy-astr.gsu.edu/hbase/mot.html

As learningphysics indicated, one can solve algebraically for the variables or coefficients in terms of variables and other coefficients.
 
Last edited:

Related to How Do You Solve for Acceleration and Velocity in Basic Physics Equations?

What is the definition of basic physics?

Basic physics is the branch of science that deals with the study of matter, energy, and their interactions. It focuses on the fundamental principles and laws that govern the behavior of objects and particles in the physical world.

Why is it important to study basic physics?

Studying basic physics helps us understand the fundamental principles that govern the physical world. It also helps us explain and predict natural phenomena, and leads to technological advancements that improve our daily lives.

What are some examples of basic physics concepts?

Some examples of basic physics concepts include motion, forces, energy, electricity, and magnetism. These concepts are used to explain everyday phenomena such as falling objects, the movement of planets, and the functioning of electronic devices.

What are the units of measurement used in basic physics?

The units of measurement used in basic physics can vary depending on the concept being studied. Some common units include meters for distance, seconds for time, kilograms for mass, and Newtons for force. The SI (International System of Units) is the most commonly used system of units in physics.

How can I improve my understanding of basic physics?

To improve your understanding of basic physics, it is important to practice solving problems and equations, and to visualize and apply concepts to real-world situations. It is also helpful to read textbooks and watch educational videos to deepen your understanding of the subject.

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