Question

An ice skater is skating at a speed of √64/5 miles per second. A) About what speed (to 2 decimal places) is the ice skater skating. B) IF teh speed of the skater changes to 4 miles per second, is the skater skating at a speed greater than √64/5 miles per second. Explain using a numberline

Answer 1

A.

Speed of Ice Skater while Skating(u)

`=(√(64))/(5)\\\\=(8)/(5)\\\\=1.6 \frac{\text{miles}}{\text{Second}}`

Speed (to 2 decimal places) the ice skater skating=1.60 miles per second

B.

Changed Speed of Skater(v) =4 miles per second

→4 > 1.6

Since, number 1.6 is on left of number 4 on the number line.So, 4 is greater than 1.6.

So, Yes , when Skater is Skating at 4 miles per second, the skater speed is greater than 1.60 miles per second.

Answer 2

By 2.4 miles per hour

Explanation:

Current Speed is given as
`speed =\frac {√(64)}{5}`

Hence

`speed =\frac {8}{5}`

`speed =1.6 mile \ per \ hour`

If the Speed is increased to 4 mph

This speed is greater by

4-1.6=2.4 mile per hour

Please Find the attachment for number line.