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inessss [21]
3 years ago
9

A toy rocket moving vertically upward passes by a 2.0-m-high window whose sill is 8.0 m above the ground. The rocket takes 0.15

s to travel the 2.0 m height of the window. What was the launch speed of the rocket, and how high will it go? Assume the propellant is burned very quickly at blastoff.
Physics
1 answer:
sveta [45]3 years ago
8 0

Answer:

v_i = 18.86 m/s

Explanation:

As we know that the speed of the rocket is v1 and v2 at the bottom and top of the window

then we will have

d = (\frac{v_1 + v_2}{2}) t

2 = (\frac{v_1 + v_2}{2})(0.15)

26.67 m/s = v_1 + v_2

also we know that

v_2 - v_1 = (-9.81)(t)

v_2 - v_1 = (-9.81)(0.15) = -1.47

now we have

v_2 = 12.6

also we have

v_1 = 14.1 m/s

now if the sill of the window is at height 8 m from the ground then we have

v_1^2 - v_i^2 = 2 a h

(14.1^2) - v_i^2 = 2(-9.81)(8)

v_i = 18.86 m/s

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