Question

an object with an initial velocity of 20 m/s accelerates uniformly at 5 m/s raised to the second power for 10 seconds what is the final velocity of the object

Answer 1

Answer:

Explanation:

Uniformly suggests uniform acceleration. That acceleration is change of speed over time. (20–10)/5 = 2m/s/s

Distance =initial velocity * time + (acceleration * time^2) / 2

Distance = 10 *5 + (2*5^2)/2 = 75m

There are other easier (“geometrical approaches”)

Simply use mean speed theorem. As the acceleation is uniform, distance travelled increases identically to its increase at average mean speed. Therefore

Distance = time * average speed = time * (initial speed + final speed) / 2

Distance = 5 * (10 + 20)/2 = 5 * 15 = 75m

vishal