Question

The Position (x) of a particle moving along a straight line as a function of time (t) is given by x=6+4t-t^2 the distdistance covered by the particle in t=0 to t=3sec is..
A) 9m. B) 3m. C) 5m. D) 6m

Answer 1

Answer on Question #48672, Physics, Mechanics | Kinematics | Dynamics

The Position (x) of a particle moving along a straight line as a function of time (t) is given by $x = 6 + 4t - t^2$. The distance covered by the particle in t=0 to t=3sec is ..

A) 9m. B) 3m. C) 5m. D) 6m

Solution:

$$x = 6 + 4t - t^2$$

The position of particle at $t = 0$ is

$$x(0) = 6 \text{ m}$$

The position of particle at $t = 3$ is

$$x(3) = 6 + 4 * 3 - 3^2 = 9 \text{ m}$$

The distance covered is

$$d = x(3) - x(0) = 9 - 6 = 3 \text{ m}$$

Answer: B) 3m.

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