jack be nimble jack be quick jack jumped over the candlestick with a velocity of 5.0 m/s at an angle of 30.0 degrees to horizontal. did jack burn his feet on the 0.25-m-high candle?

Respuesta :

MrPro

Answer:

No

Explanation:

The vertical component of Jack's initial velocity is:

5.0

sin

30

=

5.0

1

2

=

2.5

m/s

With gravitational acceleration

9.8

m/s

2

, he will reach the highest point of his trajectory after:

2.5

9.8

0.255

s

The average vertical component of his velocity in that

0.255

s

will be:

1

2

2.5

=

1.25

m/s

So the highest point of his trajectory will be:

0.255

1.25

0.32

m

So he will pass approximately

7

cm

above the top of the candle.

The horizontal component of his velocity will be a constant:

5.0

cos

30

=

5.0

3

2

4.33

m/s

So Jack's trajectory will be substantially longer than it is high and he will spend little time anywhere near above the candle.