Question

The position of a particular moving in a straight line is given by x=3+4t+3t2 Where x is in the meter and time is in second find the values of the following physical quantities for the particular at t =2s
1) position
2) displacement
3) velocity
4)acceleration

Answer 1

Answer on Question #71527-Physics-Other

The position of a particular moving in a straight line is given by $x = 3 + 4t + 3t^2$. Where $x$ is in the meter and time is in second find the values of the following physical quantities for the particular at $t = 2s$:

1) Position

2) Displacement

3) Velocity

4) Acceleration

Solution

1.

$$x(2) = 3 + 4(2) + 3(2)^2 = 23\, \text{m}.$$

2.

$$d = x(2) - x(0) = 23 - 3 = 20\, \text{m}.$$

3.

$$v = 4 + 6t$$ $$v(2) = 4 + 6(2) = 16\, \frac{\text{m}}{\text{s}}.$$

4.

$$a = 3\, \frac{\text{m}}{\text{s}^2}.$$

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