Question

How much acceleration is needed to uniformly bring an object at rest to a velocity of 16.0 m/s over a distance of 100.m?*

A 0.16 m/s²
B 0.64 m/s²
C 0.80m/s²
D 1.28 m/s²
E 1.60 m/s²

Answer 1

The acceleration needed to uniformly bring an object at rest to a velocity of 16.0 m/s over a distance of 100 m is 1.28 m/s², which is answer D.

Step-by-step explanation:

To find the acceleration necessary to bring an object at rest to a velocity of 16.0 m/s over a distance of 100 m, we can use the kinematic equation:

v2 = u2 + 2as

Where:

• v is the final velocity (16.0 m/s)
• u is the initial velocity (0 m/s, since the object starts from rest)
• a is the acceleration
• s is the distance over which the acceleration occurs (100 m)

Plugging in the values, we get:

16.02 = 0 + 2×a×100

256 = 200a

a = 256 / 200

a = 1.28 m/s2

The correct answer is D. 1.28 m/s2 is the acceleration needed.