QuestionAn aircraft accelerates from 90 m/s to 120 m/s in 15 seconds. Find the acceleration rate.

Studdy Solution

STEP 1

Assumptions1. The initial speed of the aircraft is90 metres per second. The final speed of the aircraft is120 metres per second3. The time taken for this change in speed is15 seconds4. The acceleration is constant over this period

STEP 2

The formula for acceleration is given by the change in velocity divided by the change in time. $Acceleration = \frac{Final\, speed - Initial\, speed}{Time}$

STEP 3

Now, plug in the given values for the initial speed, final speed, and time into the formula to calculate the acceleration.
$Acceleration = \frac{120\, m/s -90\, m/s}{15\, s}$

STEP 4

Perform the subtraction in the numerator to find the change in speed.
$Change\, in\, speed =120\, m/s -90\, m/s =30\, m/s$

STEP 5

Substitute the change in speed back into the formula and calculate the acceleration.
$Acceleration = \frac{30\, m/s}{15\, s}$

STEP 6

Perform the division to find the acceleration.
$Acceleration = \frac{30\, m/s}{15\, s} =2\, m/s^2$ The rate of acceleration of the aircraft is2 metres per second squared.

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