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igtguith
28.06.2020 •
Mathematics
A stone is dropped vertically downwards from the top of a tower of height 45m with a speed of 20m/s. find the;
(a) time it takes to reach the ground.
(b) speed with which it hits the ground.
( take g=10m/s)
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Ответ:
(a) 1.6 s
(b) 36 m/s
Step-by-step explanation:
Take down to be positive.
Given:
Δy = 45 m
v₀ = 20 m/s
a = 10 m/s²
(a) Find t.
Δy = v₀ t + ½ at²
45 m = (20 m/s) t + ½ (10 m/s²) t²
45 = 20t + 5t²
9 = 4t + t²
13 = t² + 4t + 4
13 = (t + 2)²
t = -2 ± √13
t ≈ 1.6 s
(b) Find v.
v² = v₀² + 2aΔy
v² = (20 m/s)² + 2 (10 m/s²) (45 m)
v = 10√13
v ≈ 36 m/s
Ответ:
x doesn't equal four x would have to equal -5 because it cant before because it would be a zero and there would be no solution
Step-by-step explanation: brainliest plz