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MArishka [77]
3 years ago
5

A ball is hit vertically upwards from a cliff, which is 80 m above the sea. The displacement

Mathematics
1 answer:
Stels [109]3 years ago
6 0

Answer:

a) 8 seconds

b) 3 seconds

c) 170 meters

Step-by-step explanation:

a) When the ball lands in the sea, s = -80.

-80 = 30t − 5t²

5t² − 30t − 80 = 0

t² − 6t − 16 = 0

(t + 2) (t − 8) = 0

t = -2 or 8

t = 8 seconds

b) The ball reaches its highest point when the velocity is 0 (or at the vertex of the parabola).

t = -b / (2a)

t = -30 / (2 × -5)

t = 3 seconds

c) The highest point is:

s = 30(3) − 5(3)²

s = 45

So the ball rises 45 meters, falls 45 meters, then falls 80 meters.

The total distance traveled is 45 + 45 + 80 = 170 meters.

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Given that triangle IJK has two equal base angles, angle J and angle K, this meets the definition of an isosceles triangle.

An isosceles triangle has two equal angles. Therefore, the side lengths opposite each of the equal base angles of ∆IJK would be of equal lengths.

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