An automobile with an initial speed of 4.30 m/s accelerates uniformly at the rate of 3.00 m/s². Find the final speed and the displacement after 5.00 s.

The final speed and the displacement of the automobile are 19.3 m/s and 59 m respectively

Step-by-step explanation:

From Newton's Equation of motion,

a = v-u/t ... Equation 1

making v the subject of the equation above,

v = at + u ... Equation 2

Where a = acceleration of the automobile, v = final speed, u = initial speed, t = time.

Given:a = 3.00 m/s², u = 4.3 m/s, t = 5.00 s

Substituting these values into equation 2,

v = 3 (5) + 4.3

v = 15 + 4.3

v = 19.3 m/s.

Also using

v² = u² + 2as

Making s the subject of the equation,

s = (v²-u²) / 2a

Where s = displacement.

Given: v = 19.3 m/s, u = 4.3 m/s, a = 3 m/s²

Substituting these values into equation 2

s = (19.3²-4.3²) / 2*3

s = (372.49 - 18.49) / 6

s = 354/6

s = 59 m

Thus the final speed and the displacement of the automobile are 19.3 m/s and 59 m respectively