Question

1. directions

drag and drop the correct answer choice to each answer blank.
a race car accelerates at 2 m/s² over a period of 4 seconds. what was the initial velocity of the car if the car was traveling 18 m/s at the end of the 4 seconds?
8 10 16 26 m s $\frac{m}{s}$ $\frac{m}{s^2}$
drag the number answer into the first blank, and then the correct units into the second blank.
clear all

Explanation:

Step1: Recall the acceleration formula

The formula for acceleration is \( a = \frac{v_f - v_i}{t} \), where \( a \) is acceleration, \( v_f \) is final velocity, \( v_i \) is initial velocity, and \( t \) is time. We need to solve for \( v_i \). Rearranging the formula gives \( v_i = v_f - a \times t \).

Step2: Substitute the known values

We know that \( v_f = 18 \, \text{m/s} \), \( a = 2 \, \text{m/s}^2 \), and \( t = 4 \, \text{s} \). Substituting these into the formula: \( v_i = 18 - (2 \times 4) \).

Step3: Calculate the initial velocity

First, calculate \( 2 \times 4 = 8 \). Then, \( 18 - 8 = 10 \). The unit for velocity is \( \frac{\text{m}}{\text{s}} \).

Answer:

First blank: 10, Second blank: \(\frac{\text{m}}{\text{s}}\)