###### Asked in Science

Science

# How far will something fall in 10 sec?

## Answer

###### Wiki User

###### June 25, 2017 9:50PM

The answer depends on:

- where it is falling (if on a space ship, the answer may be 0)
- the extent to which air resistance affects the fall.

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###### Asked in Physics

### A car accelarates uniformly from 36kmhr to 54kmhr in 10s find accelaration and distance traveled by the car during this interval of time?

Acceleration = (change in speed) / (change in
time) = [ (54 - 36) km/hr ] / (10 sec) = (18 km/hr) /(10 sec) =
(1.8 km/hr-sec) x (3,600 sec / hr) = (1.8 x 3,600) (km - sec
/ hr2 - sec) = 6,480 km / hr2 Average speed
during the 10 seconds = (36 + 54) / 2 = 90/2 = 45 km/hr
Distance = (average speed) x (time) = (45 km/hr) x
(10 sec) x (1 hr / 3,600 sec) = (45 x 10 / 3,600) (km - sec
- hr / hr - sec) = 0.125 km = 125 meters

###### Asked in Math and Arithmetic, Algebra, Calculus

### How do you integrate one over sqrt of x squared minus nine between limits five and ten?

5∫10[1/√(x2 - 9)] dx = 5∫10[dx/√(x2 - 32)]
Let x = 3 sec θ, where 0 < θ < π/2 or π < θ < 3π/2.
Then, dx = 3 sec θ tan θ dθ and
√(x2 - 9) = √[(3 sec θ)2 - 9] = √[9(sec2 θ - 1)] = √(9 tan2 θ) =
3 tan θ
5∫10[dx/√(x2 - 32)]
= 5∫10[(√3 sec θ tan θ)/(3 tan θ)] dθ
= 5∫10 sec θ dθ
= ln |sec θ + tan θ|5|10 = ln sec 10 + tan 10 - sec 5 - tan 5 =
-2.298

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