Question

How to find time using acceleration and displacement/distance

Answer 1

Displacement (s) of an object equals, velocity (u) times time (t), plus ½ times acceleration (a) times time squared (t2). Use standard gravity, a = 9.80665 m/s2, for equations involving the Earth's gravitational force as the acceleration rate of an object.

Answer 2

we can find time using equations of motion

Step-by-step explanation:

We know that distance traveled by a moving object with given initial velocity, travel time and acceleration is given by the formula

`\mathrm{s}=\mathrm{u} \mathrm{t}+(1)/(2) a t^(2)`

where u = initial velocity,

a = acceleration due to gravity,

t = travel time and

s = distance

Now if the object starts from rest,

we can write initial velocity = 0

i.e u = 0

and substitute it in the given formula which makes

u*t = 0 and gives us

`\mathrm{s}=(1)/(2) a t^(2)`

which can be written in terms of time as
`t^(2)=(2 s)/(a)`

or
`\mathrm{t}=\sqrt{(2 s)/(a)}`

So, if initial velocity is said to be zero or the object starts from rest point then we can find the time using acceleration and distance/displacement