A cargo aircraft accelerates from rest to a final velocity of 90 \text{ m/s} in exactly 3 … — Armed Services Vocational Aptitude Battery (ASVAB)

A cargo aircraft accelerates from rest to a final velocity of $90 \text{ m/s}$ in exactly $3 \text{ minutes}$ . What is the average acceleration of the aircraft in $\text{m/s}^2$ ?

A
$30 \text{ m/s}^2$
B
$2.0 \text{ m/s}^2$
$0.5 \text{ m/s}^2$ Cevap
D
$270 \text{ m/s}^2$

Cevap

The average acceleration of the aircraft is

0.5 \text{ m/s}^2

The correct average acceleration is found by first converting the given time of 3 minutes into 180 seconds. Then, using the kinematic formula for acceleration (change in velocity divided by time), dividing the final velocity of

90 \text{ m/s}

by 180 seconds results in

0.5 \text{ m/s}^2

Adım Adım Çözüm

Convert the time from minutes to seconds.

3 \text{ minutes} \times 60 \text{ seconds/minute} = 180 \text{ seconds}

Acceleration is requested in

\text{m/s}^2

, so the time variable must be in seconds.

Apply the formula for average acceleration:

a = \frac{v_f - v_i}{t}

a = \frac{90 \text{ m/s} - 0 \text{ m/s}}{180 \text{ s}}

This formula determines the rate of change of velocity over the given time period.

Calculate the final acceleration value.

a = 0.5 \text{ m/s}^2

Dividing

90

180

yields

0.5

Anahtar Kavram

Calculating average acceleration requiring unit conversion.

Soru

Cevap

Adım Adım Çözüm

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