Rearrange the following kinematics equation for the variable iondicated:
a)d=v1t+1/2at^2
i)v1
ii)a
b)d=v2t-1/2at^2
i)v2
ii)a
This is algebra problen using a physics equation. Use the rules of algebra to write an equation for the specified variable. We will be glad to critique your work.
To rearrange the given kinematic equations for the indicated variables, follow these steps:
a) Rearranging the equation "d = v1t + (1/2)at^2" for variable i) v1:
1. Start with the equation: d = v1t + (1/2)at^2.
2. To isolate v1, first, subtract (1/2)at^2 from both sides of the equation: d - (1/2)at^2 = v1t.
3. Finally, divide both sides of the equation by t to solve for v1: v1 = (d - (1/2)at^2)/t.
b) Rearranging the equation "d = v2t - (1/2)at^2" for variable i) v2:
1. Begin with the equation: d = v2t - (1/2)at^2.
2. To isolate v2, add (1/2)at^2 to both sides of the equation: d + (1/2)at^2 = v2t.
3. Then, divide both sides of the equation by t to derive v2: v2 = (d + (1/2)at^2)/t.
To find the value of variable ii) a (acceleration) in both equations, it is important to note that the equations are already in terms of d (distance), t (time), and v (velocity). The acceleration is not a variable that can be rearranged from the given equations. Instead, it must be provided or obtained from another source.