3. (15 points) Isabel throws a tomato at Juan straight down off the balcony of a

Question

3. (15 points) Isabel throws a tomato at Juan straight down off the balcony of an apartment building at a speed of 8.0 m/s during a "Tomato Festival" in Spain. (a) If it took 0.4 s for the tomato to hit Juan's head, what was the distance between the position where the tomato was released and Juan's head? And what was the velocity of the tomato when it hit Juan's head? (Trust me. It hurts! In fact a lot.) (b) Now, if the tomato was thrown straight up at the same speed, what was the displacement and velocity of the tomato 1.6 s later? Had Juan already gotten hit at that time?

Explanation / Answer

A)

Using 2nd equation of motion

d= ut+0.5gt^2

d= 8*0.4+ 0.5*9.8*0.4^2

d= 3.984 m (Ans)

Velocity before hitting head

V= 8+9.8*0.4= 11.92 m/s (Ans)

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b)

y= -8*1.6 + 0.5*9.8* 1.6^2= 0.256 m

No, juan isn't hit by the tomato till this time

V= -8+9.8*1.6= 7.68 m/s

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Comment in case any doubt.. good luck

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