The acceleration while accelerating is 257.31 m/s² and acceleration while braking is -193.17 m/s².
What is acceleration?
Acceleration is the rate of change of the velocity of an object with respect to time. It is a vector quantity.
The equation for acceleration is
a = Δv / Δt
where a is acceleration,
Δv is the change in velocity,
Δt is the amount of time it took for that change to occur.
The unit is \(m/s^{2}\) .
There are two ways by which an object can accelerate. One is to change the speed and other one is to change the direction. Even you can change both at same time.
If not changing any of them then object can not accelerate.
Some of examples of acceleration are
- Turning a corner at high speed as turning changes the direction and giving rise to acceleration.
- Slowing or speeding a car is acceleration as speed is changing. So acceleration happens.
- Falling from the bridge. Here acceleration equals to gravitational acceleration.
Given:
Initial velocity, \(u = 0 m/s\)
Final velocity, \(v = 651 m/s\)
Time,\(t = 2.53 s\)
Let, \(a\) be the acceleration.
By using
\(v = u+at\)
We get, acceleration while accelerating
\(651 = 0 + a*2.53\\a = 257.31 m/s^{2}\)
Now, the traveled distance by sled is
\(v^2 - u^2 = 2as\\651^2 = 2*257.31*s\\s = 823.52 m\)
Acceleration while braking is
\(v = u+at\\0 = 651+a*3.37\\a = - 193.17 m/s^{2}\)
Hence, the acceleration while accelerating is 257.31 m/s² and acceleration while braking is -193.17 m/s².
To learn more about Acceleration here
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