Which of the following accelerations is the smallest in magnitude (ignore positive or negative signs)?
A.)Not enough information
B.)acceleration from 0 to 30 m/s in 2 s
C.)deceleration from 30 m/s to 10 m/s in 1.5 s
D.)gravity on Earth

Respuesta :

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:

[tex]=\frac{30 m/s-0 m/s}{2s}=15 m/s^2[/tex]

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:

[tex]=\frac{10m/s-30 m/s}{1.5 s}=-13.4 m/s^2[/tex]

The magnitude of the deceleration is 13.4.

  • Gravity on earth

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

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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