Question

1. given that final velocity equals 45 km / hr eastward, and given that initial velocity equals 35 km/hr eastward, which time duration produces an acceleration of 50 km/ hr² eastward? (remember to convert minutes to hours.) 12 minutes 12 hours 0.2 minutes 2 minutes clear all

Explanation:

Step1: Recall the acceleration formula

The formula for acceleration is \(a=\frac{v - u}{t}\), where \(a\) is acceleration, \(v\) is final velocity, \(u\) is initial velocity, and \(t\) is time.

Step2: Rearrange the formula to solve for time

We can rewrite the formula as \(t=\frac{v - u}{a}\).
Given \(v = 45\space km/hr\), \(u = 35\space km/hr\), and \(a=50\space km/hr^{2}\).
Substitute the values into the formula: \(t=\frac{45 - 35}{50}\)

$$t=\frac{10}{50}= 0.2\space hr$$

Step3: Convert hours to minutes

Since \(1\space hr=60\space minutes\), then \(t = 0.2\times60 = 12\space minutes\)

Answer:

12 MINUTES