Question

Equation of uniformly accelerated motion​

Answer 1

The equation of uniformly accelerated motion involves kinematic equations that describe how an object moves with constant acceleration, and these equations are essential for solving problems related to one-dimensional motion.

Step-by-step explanation:

The equation of uniformly accelerated motion refers to the kinematic equations that describe the motion of an object that is moving with constant acceleration. To address motion with constant acceleration in one dimension, some specific kinematic equations can be applied. These equations consider variables such as initial position (x0), initial velocity (v0x), acceleration (a), and time (t).

For example, the position of an object in motion along a straight line can be determined using the equation x(t) = x0 + v0xt + (1/2)at2, which calculates the final position based on the initial position, the initial velocity, the acceleration, and time elapsed.

These kinematic equations are foundational in understanding motion in not just one dimension, but also in multi-dimensional settings by breaking the motion down into individual components along each axis. When dealing with a uniform gravitational field, such as the earth's gravity, we use g to represent the constant acceleration due to gravity, with ay = -g and ax = 0 for horizontal motion.

Answer 2

This means acceleration a is constant.

Let

a) vo be the initial speed, at t=0

b) v be the final speed after time t

c) d distance travelled in time t

Then we have:

a) v=vo+a×t

b) v²=vo²+2×a×d (Galilei's equation)

c) d=vo×t+a×t²/2

d) average speed vm=(vo+v)/2