Question

The Problems: 1. Xavier starts at a position of 0 m and moves with an average speed of 0.50 m/s for 3.0 seconds. He normally moves faster than this but he'd just woken up. Determine his final position. 2. A hedgehog starts at a position of 0 m and moves with an average speed of 0.75 m/s for 4.0 s. Determine the final position of the hedgehog. 3. A tortoise starts at a position of 1.0 m and moves with an average speed of 1.25 m/s for 3.0 s, what is the final position of the tortoise? Cintia, in a 100 m race, has an average speed of 1.25 m/s. What was her race time? 5. Angel runs a marathon with an average speed of 5 miles/hour. How long did it take to finish?​

Answer 1

(1). His final position is 1.5 m.

(2). The final position of the hedgehog is 3 m.

(3). The final position of the tortoise

(4). Her race time is 80 sec.

(5). It take to finish in 5 hr.

Step-by-step explanation:

(1). Given that,

Initial position = 0 m

Average speed = 0.50 m/s

Time = 3.0 s

We need to calculate the final position

Using formula of average speed

`v_(av)=(x_(f)+x_(i))/(t)`

Where,
`x_(f)` = final position

`x_(i)` = Initial position

t = total time

Put the value into the formula

`0.50=(x_(f)+0)/(3.0)`

`x_(f)=0.50*3.0`

`x_(f)=1.5\ m`

(2). Given that,

Initial position = 0 m

Average speed = 0.75 m/s

Time = 4.0 s

We need to calculate the final position

Using formula of average speed

`v_(av)=(x_(f)+x_(i))/(t)`

Put the value into the formula

`0.75=(x_(f)+0)/(4.0)`

`x_(f)=0.75*4.0`

`x_(f)=3\ m`

(3). Given that,

Average speed = 1.25 m/s

Time = 3.0 sec

Initial position = 1.0 m

We need to calculate the final position

Using formula of average speed

`v=(x_(f)+x_(i))/(t)`

Put the value into the formula

`1.25=(x_(f)+1.0)/(3.0)`

`x_(f)=1.25*3.0-1.0`

`x_(f)=2.75\ m`

(4). Given that,

Average speed = 1.25 m/s

Distance = 100 m

We need to calculate the time

Using formula of time

`t=(d)/(v)`

Put the value into the formula

`t=(100)/(1.25)`

`t=80 sec`

(5). Given that,

Average speed = 5 miles/hr

Suppose, distance = 25 miles

We need to calculate the time

Using formula of time

`t=(d)/(v)`

Put the value into the formula

`t=(25)/(5)`

`t=5\ hr`

Hence, (1). His final position is 1.5 m.

(2). The final position of the hedgehog is 3 m.

(3). The final position of the tortoise

(4). Her race time is 80 sec.

(5). It take to finish in 5 hr.