Question

Which of the following accelerations is the smallest in magnitude (ignore positive or negative signs)?

Answer 1

The gravity on the Earth has acceleration is smallest in magnitude

Given:

• Acceleration from 0 to 30 m/s in 2 s
• Deceleration from 30 m/s to 10 m/s in 1.5 s
• Gravity on Earth

To find:

The accelerations with the smallest magnitude

Solution:

• Acceleration from 0 to 30 m/s in 2 s The acceleration in 2 seconds:

$=\frac{30 m/s-0 m/s}{2s}=15 m/s^2$

The magnitude of the acceleration is 15.

• Deceleration from 30 m/s to 10 m/s in 1.5 s The deceleration in 1.5 seconds:

$=\frac{10m/s-30 m/s}{1.5 s}=-13.4 m/s^2$

The magnitude of the deceleration is 13.4.

• Gravity on earth

The value of the acceleration due to gravity = $g = 9.8 m/s^2$

The magnitude of the acceleration is 9.8.

9.8 < 13.4 < 15

The gravity on the Earth has acceleration is smallest in magnitude.

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