QuestionMay 7, 2025

Select the best equation to solve the problem. A car in motion takes 7.81 s to come to a complete stop . It travels 100 m in that time. What was the acceleration of the car? A) Delta x=(1)/(2)(v_(f)+v_(i))t B) v_(f)=v_(i)+at C) v_(f)^2=v_(i)^2+2aDelta x D) Delta x=v_(f)t-(1)/(2)at^2 E) Delta x=v_(i)t+(1)/(2)at^2 Enter letter option A . B. C, D, or E. Hint: Identify the variables stated in the problem. Do we know the initial velocity?

Select the best equation to solve the problem. A car in motion takes 7.81 s to come to a complete stop . It travels 100 m in that time. What was the acceleration of the car? A) Delta x=(1)/(2)(v_(f)+v_(i))t B) v_(f)=v_(i)+at C) v_(f)^2=v_(i)^2+2aDelta x D) Delta x=v_(f)t-(1)/(2)at^2 E) Delta x=v_(i)t+(1)/(2)at^2 Enter letter option A . B. C, D, or E. Hint: Identify the variables stated in the problem. Do we know the initial velocity?
Select the best equation to solve the problem. A car in motion takes 7.81 s to come to a complete stop . It travels 100 m in that time. What was the acceleration of the car? A) Delta x=(1)/(2)(v_(f)+v_(i))t B) v_(f)=v_(i)+at C) v_(f)^2=v_(i)^2+2aDelta x D) Delta x=v_(f)t-(1)/(2)at^2 E) Delta x=v_(i)t+(1)/(2)at^2 Enter letter option A . B. C, D, or E. Hint: Identify the variables stated in the problem. Do we know the initial velocity?

Solution
4.4(203 votes)

Answer

E Explanation 1. Identify known variables The problem provides \Delta x = 100 \, \text{m}, t = 7.81 \, \text{s}, and v_f = 0 \, \text{m/s}. We need to find the acceleration (a). The initial velocity (v_i) is not directly given. 2. Select the best equation To solve for a, we need an equation that relates \Delta x, t, v_f, and a. Option E, \Delta x = v_i t + \frac{1}{2} a t^2, is the most suitable because it includes all these variables and allows solving for a without needing v_i explicitly.

Explanation

1. Identify known variables<br /> The problem provides $\Delta x = 100 \, \text{m}$, $t = 7.81 \, \text{s}$, and $v_f = 0 \, \text{m/s}$. We need to find the acceleration ($a$). The initial velocity ($v_i$) is not directly given.<br /><br />2. Select the best equation<br /> To solve for $a$, we need an equation that relates $\Delta x$, $t$, $v_f$, and $a$. Option E, $\Delta x = v_i t + \frac{1}{2} a t^2$, is the most suitable because it includes all these variables and allows solving for $a$ without needing $v_i$ explicitly.
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