Question #99084
1 Answer
Not a full explanation, but a quick example relating the two subjects:
Explanation:
Acceleration is the rate at which velocity changes with respect to time, and is a vector quantity:
veca = (dvecv)/(dt) = lim_(Deltatrarr0) (Deltavecv)/(Deltat)
If the acceleration is constant, we can use the equations of motion with constant acceleration to solve many kinematics problems.
For example, say we have a car originally traveling at
ul(v_x= v_(0x) + a_xt
to find the acceleration,
-
v_x is the final velocity (which is0 since it comes to a stop) -
v_(0x) is the initial velocity of the car (given as20 "m/s" ) -
t is the time interval (given as0.5 "s" )
We can plug in these values to find the acceleration of the car:
0 = 20color(white)(l)"m/s" + a_x(0.5color(white)(l)"s")
color(red)(ul(a_x = -40color(white)(l)"m/s"^2
Newton's second law relates the acceleration of a body to the net force acting on it:
ul(sumvecF = mveca (
m is the mass of the object)
For example, if the car in the previous problem had a mass of
sumF = (75color(white)(l)"kg")(color(red)(-40color(white)(l)"m/s"^2)) = color(blue)(ul(3000color(white)(l)"N"
This wasn't a full, in-depth explanation of these concepts, but an example always helps clarify things.
You can actually visit one of my scratchpads here for further information about the constant-acceleration equations and how they are derived.