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postnew [5]
3 years ago
8

Jason and Guy are throwing watermelons straight up from the ground. (They’re making fruit salad.) Jason throws his watermelon at

speed v and it spends time t in the air before smashing into the ground. Not to be outdone, Guy then throws his watermelon at speed 2v. How long is Guy’s watermelon in the air before it smashes back into the ground?
Physics
1 answer:
NISA [10]3 years ago
5 0

Answer:2t

Explanation:

Given

Jason throwing watermelon at speed v and it spend t time in air

time to reach max height

v_f=u_i+at'

0=v-gt'

t'=\frac{v}{g}

and time to reach bottom is also t'

t=2t'

t=2\frac{v}{g}

For guy throws his watermelon at speed 2v

So total time in air will be

t''=2\frac{2v}{g}

t''=4\frac{v}{g}

t''=2t

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T<u>he direction of motion</u> of the person relative to the water is <u>16.7° north of east.</u>

Why?

We can solve the problem by applying the Pitagorean Theorem, where the first speed (to the north) and the second speed (to the east) corresponds to two legs of the right triangle formed with them. (north and east directions are perpendicular each other)

We can calculate the angle that give the direction using the following formula:

Tan(\alpha)=\frac{NorthSpeed}{EastSpeed}\\\\Tan(\alpha)^{-1}=Tan(\frac{NorthSpeed}{EastSpeed})^{-1}\\\\\alpha=Tan(\frac{NorthSpeed}{EastSpeed})^{-1}

Now, substituting the given information we have:

alpha=Tan(\frac{NorthSpeed}{EastSpeed})^{-1}

\alpha =Tan(\frac{3.6\frac{m}{s} }{12\frac{m}{s} })^{-1}\\\\\alpha =Tan(0.3)^{-1}=16.69\°(North-East)=16.7\°(North-East)

Hence, we have that <u>the direction of motion</u> of the person relative to the water is 16.7° north of east.

Have a nice day!

7 0
3 years ago
If we assume that, in the African savanna, the predator population remains constant, what other, nonmobile, factor would influen
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allochka39001 [22]

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3 years ago
A body is projected from the ground at an angle of 30° with the horizontal at an initial speed of 128 ft/s. Ignoring air frictio
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Answer

given,

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angle made with horizontal = 30°

now,

horizontal component of velocity

vx = v cos θ = 128 x cos 30° = 110.85 ft/s

vertical component of velocity

vy = v sin θ = 128 x sin 30° = 64 m/s

time taken to strike the ground

using equation of motion

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