Question

How long will it take a car to accelerate from 15.2 m/s to 23.5 m/s if the car has an average acceleration of 3.2 m/s

Answer 1

Answer on Question #62047 - Physics - Optics

Question:

How long will it take a car to accelerate from 15.2 m/s to 23.5 m/s if the car has an average acceleration of 3.2 m/s² ?

Solution:

Let

- initial speed (m/s),

$v_{1}$ — final speed (m/s),

$a$ — average acceleration $(\mathrm{m} / \mathrm{s}^{2})$,

$t$ — time (s).

To calculate the time, we divide the increment of speed by average acceleration: $t = \frac{v_1 - v_0}{a}$.

Substituting given data into the formula

we obtain $t = \frac{23.5 - 15.2}{3.2} = 2.59375 \, \text{s} \approx 2.59 \, \text{s}$

Answer:

approx. 2.59 s (exact value = 2.59375 s)

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