Question

Nicholas is at The Noah's Ark Amusement Park and preparing to ride on The Point of No Return racing slide. At the top of the slide, Nicholas (m=50 kg) is 28.5 m above the ground. Determine Nicholas' speed as he arrives at the bottom of the slide.

Answer 1

you can not determine the speed based on the information given

Answer 2

Step-by-step explanation:

Recall that from the principle of conservation of energy,

P.E = K.E -------- eqn i

Solution

P.E = mgh

K.E =
`(1)/(2) mv^(2)`

i.e mgh =
`(1)/(2) mv^(2)` --------- eqn ii

m = 50 kg

v = ?

g = 9.8
`ms^(-2)`

h = 28.5 m

substitute for all values in eqn ii

50 X 9.8 X 28.5 =
`(1)/(2) X 50 X v^(2)`

13965 =
`25 X v^(2)`

`v^(2)  = (13965)/(25)`

`v^(2) = 558.6`

`v = √(558.6)`

v = 23.635 m/s

Therefore, Nicholas arrives the bottom of the slide at a speed of 23.635 m/s