The relation that predicts the velocity, [tex]x(t) = \frac{1}{2} \cdot 4 \cdot {t}^{2} [/tex], gives the velocity at t = 4.5 seconds as 18
Which values can be found from the given relation in order to predict the velocity?
The given function for the velocity of the car with time is [tex]x(t) = \frac{1}{2} \cdot 4 \cdot {t}^{2} [/tex]
Comparing the above function with the following equation of motion;
[tex]x(t) = u\cdot t + \frac{1}{2} \cdot a \cdot {t}^{2} [/tex]
We have;
x(t) = The distance traveled after time, t
a = The acceleration = 4
u = The initial velocity = 0
The equation of motion for the velocity as a function of time is; v = u + a•t
Which gives;
v = 0 + 4•t
The velocity of the car at t = 4.5 seconds is therefore;
v = 0 + 4 × 4.5 = 18
The velocity of the car at t = 4.5 is 18
Learn more about the equations of motion here:
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