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Answers
Answer:
t=5s
Explanation:
Time to reach maximum height can be obtained from v=u+at
0=20+(−10)t
t=2s
s=ut+0.5at
2
=20(2)+0.5(−10)(2)
2
=20m
Thus, total distance for maximum height is 45 m
s=ut+0.5at
2
45=0+0.5(10)(t
′
)
2
t
′
=3s
Total time= 3+2= 5s
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Given :-
A ball is thrown vertically upwards with a velocity of 20m/ s from the top of a multi-story building.The height of the point where the ball is thrown 25 m from the ground
To Find :-
Time taken to hit the ground
Solution :-
We know that
v = u + gt
0 = 20 + (-10)t
0 - 20 = -10t
-20 = -10t
20 = 10t
20/10 = t
2 = t
Now
s = ut + 1/2 × gt²
s = 20(2) + 1/2 × (-10) × (2)²
s = 40 + (-5) × 4
s = 40 - 20
s = 20 m
Now
Total height = 20 + 25 = 45 m
s = ut + 1/2 × gt²
45 = 0(t) + 1/2 × (10)(t²)
45 = 0 + 5t²
45 = 5t²
45/5 = t²
9 = t²
√9 = t
±3 = t
As time can't be negative. t = 3
Hence
Total time = 3 + 2
Total = 5 sec