The body moves in a straight line and uniformly accelerated from a state of rest.

The body moves in a straight line and uniformly accelerated from a state of rest. The projection of the velocity on the x axis v x = 15 m / s, the time of movement t = 5 s. What is the acceleration projection?

Let some body move rectilinearly and uniformly accelerated from a state of rest along the Ox axis (hence, its initial velocity vо = 0 m / s). The projection of the acceleration onto the Ox axis can be found from the definition of acceleration as a value numerically equal to the rate of change in the body’s velocity: ax = (vx – vо): t. It is known from the condition of the problem that the projection of the body’s velocity onto the Ox axis was vx = 15 m / s, the time of movement was t = 5 s. Let’s substitute the values of physical quantities in the calculation formula and find the projection of acceleration ax = (15 – 0): 5 = 3 (m / s²).
Answer: 3 m / s² is the acceleration projection.