Question

lebron james starts his car and accelerates to a velocity of 30mph. if his acceleration is 12m/s2, how long did it take to reach this velocity?
what are we trying to find?
what is the equation?
what are the we been given?
you type the answer to the problem in on the next page
☐ acceleration ☐ change in distance ☐ change in mass ☐ change in time ☐ change in velocity
☐ acceleration = change in velocity / change in time ☐ distance = speed x time ☐ speed = distance/time
☐ time = distance / speed ☐ velocity = change in distance / change in time ☐ change in time = change in velocity / acceleration

Explanation:

Step1: Identify target variable

We need to find change in time ($\Delta t$).

Step2: List given values

First convert final velocity to m/s:
$v_f = 50 \, \text{MPH} = 50 \times \frac{1609.34}{3600} \approx 22.35 \, \text{m/s}$
Initial velocity $v_i = 0 \, \text{m/s}$, so $\Delta v = 22.35 - 0 = 22.35 \, \text{m/s}$
Acceleration $a = 1.3 \, \text{m/s}^2$

Step3: Select correct equation

Use rearranged acceleration formula:
$\Delta t = \frac{\Delta v}{a}$

Step4: Calculate time

Substitute values into the formula:
$\Delta t = \frac{22.35}{1.3} \approx 17.19$

Answer:

What are we trying to FIND?

change in time

What is the EQUATION?

change in time = change in velocity / acceleration

What have we been GIVEN?

change in velocity ≈ 22.35 m/s, acceleration = 1.3 m/s²

Final calculated time:

≈ 17.2 seconds