question 16

if a vehicle is going 60 mph, how many feet does it travel in 1 second?

88 feet
528 feet
264 feet
44 feet

Question

question 16

if a vehicle is going 60 mph, how many feet does it travel in 1 second?

88 feet
528 feet
264 feet
44 feet

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Unit Conversion", "Dimensional Analysis" ], "new_concepts": [], "current_concepts": [ "Unit Conversion", "Dimensional Analysis", "Speed Conversion" ] } ## Identify the given values and conversion factors Using the *Unit Conversion* and *Dimensional Analysis* knowledge points $$ \begin{aligned} v &= 60\text{ miles/hour}\ t &= 1\text{ second}\ 1\text{ mile} &= 5280\text{ feet}\ 1\text{ hour} &= 3600\text{ seconds} \end{aligned} $$ ## Convert miles per hour to feet per second Using the *Dimensional Analysis* knowledge point $$ \begin{aligned} v &= 60\text{ mph} = 60 \times \frac{5280\text{ feet}}{3600\text{ seconds}}\ v &= 60 \times \frac{22}{15}\text{ feet/second}\ v &= 4 \times 22\text{ feet/second} = 88\text{ feet/second} \end{aligned} $$ ## Calculate the distance traveled in 1 second Using the *Unit Conversion* knowledge point $$ \begin{aligned} d &= v \times t\ d &= 88\text{ feet/second} \times 1\text{ second} = 88\text{ feet} \end{aligned} $$

(A) 88 feet

(B) 528 feet

(C) 264 feet

(D) 44 feet

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Dimensional Analysis" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given values and conversion factors

Convert miles per hour to feet per second

Calculate the distance traveled in 1 second

Answer: