QuestionA car accelerates from rest to 15 $\mathrm{m} / \mathrm{sec}$ east in 20 seconds. Find the car's acceleration.

Studdy Solution

STEP 1

Assumptions1. The initial velocity of the car is0 m/sec (since it starts from a stoplight). . The final velocity of the car is15 m/sec.
3. The time taken to reach this velocity is20 seconds.
4. The direction of the motion is east, but since we are interested in the magnitude of acceleration, we can ignore the direction.

STEP 2

The formula to calculate acceleration is $Acceleration = \frac{Final\, velocity - Initial\, velocity}{Time}$

STEP 3

Now, plug in the given values for the initial velocity, final velocity, and time to calculate the acceleration.
$Acceleration = \frac{15\, m/sec -0\, m/sec}{20\, sec}$

STEP 4

implify the equation to calculate the acceleration.
$Acceleration = \frac{15\, m/sec}{20\, sec}$

STEP 5

Calculate the acceleration.
$Acceleration = \frac{15\, m/sec}{20\, sec} =0.75\, m/sec^2$ The acceleration of the car is0.75 m/sec².

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