Answer:
15.525 feet
Step-by-step explanation:
GIVEN: A watermelon is thrown down from the [tex]7th[/tex] floor of Urey Hall at UCSD. If the initial height of the watermelon is [tex]21.0\text{ meters}[/tex], and it is thrown straight downward with an initial downward velocity of [tex]3.00\text{ m/s}[/tex].
TO FIND: How far will the watermelon have fallen from its starting height after [tex]1.5[/tex] seconds.
SOLUTION:
initial height of watermelon [tex]=21\text{ meter}[/tex]
initial velocity of watermelon[tex]=3\text{ m/s}[/tex]
acceleration due to gravity [tex]=9.8\text{m/s}^2[/tex]
According to newton's law of motion
[tex]S=ut+\frac{1}{2}at^2[/tex]
when [tex]t=1.5[/tex] seconds
[tex]S=3\times1.5+\frac{1}{2}\times9.8\times1.5^2[/tex]
[tex]S=4.5+11.025[/tex]
[tex]S=15.525\text{ feet}[/tex]
Hence watermelon will have fallen 15.525 feet from its starting height after 1.5 seconds