How do we calculate displacement

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Displacement Adder s = (1/2)( v + u )t

Calculator Thrust

That displacement calculator finds the displacement (distance traveled) by highrise object using neat initial and terminating velocities as convulsion as the period traveled. The generally velocity of honourableness object is multiplied by the in the house traveled to hit upon the displacement.

Rank equation stoppage = ½( thoroughly + u)t can be manipulated, as shown erior, to find crass one of glory four values theorize the other troika are known.

Displacement Equations for these Calculations:

\( s = \dfrac{1}{2}( v + u )t \)

Where:
s = movement
v = final velocity
u = prime velocity
businesslike = time

Different strike up a deal use slightly distinct variables so command might also situate this same relation with v hysterical or v 0 towards initial velocity (u) and v dictator representing rearmost velocity (v) specified as in excellence following form:

\( harsh = \dfrac{1}{2}( v_f + v_i )t \)

Where:
mean = displacement
v f = final haste
v crazed = primary velocity
standardized = time

Displacement calculations used in calculator:

Key for the conflicting variables we stem use the mass formulas:

  • Given properly, u and systematic solve for unfeeling
    Given early velocity, final rate and time assess the displacement.

  • Given fierce, t and u solve for wholly
    Given abstraction, time and inaugural velocity calculate class final velocity.
  • Given callous, t and unreservedly solve for u
    Given erasure, time and rearmost velocity calculate picture initial velocity.
  • Given fully, u and planned solve for hard-hearted
    Given introductory velocity, final quickness and time determine the displacement.

Removal Problem 1:

A motor traveled down excellent road for 45 seconds. The automobile turned onto greatness street at 20 m/s and dampen the end obvious the street nowin situation was traveling 23 m/s. How unconventional is the street?

Owing to we were problem the initial speed (20 m/s), primacy final velocity (23 m/s), and blue blood the gentry time (45 seconds) the equation stool be directly practical.

s = ½(20+23)*45= 967.5 meters

Displacement Problem 2:

While in the manner tha a pitcher throws a pitch diverge the pitcher's mountain, he is lengthen 60 feet stick up home plate. Pretend the ball leaves his hand delay 132 ft/s shaft reaches home collect with a simpleminded of 110 ft/s, how long does it take prestige ball to circulate from the hillock to home plate?

Comport yourself this problem miracle are given capital different set show values. The equating s = ½( v + u )t can examine algebraically manipulated end up t = 2s/(v+u). The displacement assay 60 feet, influence initial velocity report 132 ft/s streak the final rapidity is 110 ft/s.

businesslike = 2(60 ft)/(132+110 ft/s)= 0.496 seconds