Complete Question
The complete question is shown on the first uploaded image
Answer:
The velocity is [tex]v =0.333 \ m/s [/tex] in positive x -direction
The speed is [tex]s = 0.733 \ m/s[/tex]
Explanation:
From the question we are told that
The distance from the house to truck is D = 20 m
The distance traveled back to retrieve wind-blown hat is d = 15
The distance from the wind-blown hat position too the truck is k = 20 m
The total time taken is t = 75 s
Generally when calculating the displacement the Justin's backward movement to collect his wind - blown hat is taken as negative
Generally Justin's displacement is mathematically represented as
[tex]L = 20 - 15 + 20[/tex]
=> [tex]L = 25 \ m [/tex]
Generally the average velocity is mathematically represented as
[tex]v = \frac{L}{t}[/tex]
=> [tex]v = \frac{25}{75}[/tex]
=> [tex]v =0.333 \ m/s [/tex]
Generally the distance covered by Justin is mathematically represented as
[tex]R = D+ d + k[/tex]
=> [tex]R = 20 + 15 +20[/tex]
=> [tex]R = 55 \ m [/tex]
Generally Justin's average speed over a 75 s period is mathematically represented as
[tex]s = \frac{R}{ t}[/tex]
=> [tex]s = \frac{55}{ 75}[/tex]
=> [tex]s = 0.733 \ m/s[/tex]
