Respuesta :
The acceleration of the rocket is 5.5m/s².
What is acceleration?
- In mechanics, acceleration is defined as the rate of change of an object's velocity with respect to time.
- Vector quantities are accelerations (in that they have magnitude and direction).
- The orientation of an object's acceleration is determined by the orientation of its net force.
To find the acceleration of the rocket:
Given:
- Acceleration due to gravity = 9.8m/s²
- Time = 6.0s
- acceleration of the rocket after 4s = a
Kinematic Equation:
- v = at
- t = 4
- v = 4a
Use the kinematic equation as follows:
[tex]$\begin{aligned}&Y=V_o+V_o t+\frac{1}{2} a t^2 \\&y=0+0+\frac{1}{2} a(4)^2 \\&y=8 a\end{aligned}$[/tex]
The bolt took 6 seconds to hit the ground.
[tex]$\begin{aligned}&Y=V_o+V_o t-\frac{1}{2} g t \\&0=8 a+4 a(6)-\frac{1}{2} * 9.8 * 6^2 \\&32 a=176.4 \\&a=5.5 m / s^2\end{aligned}$[/tex]
Therefore, the acceleration of the rocket is 5.5m/s².
Know more about acceleration here:
https://brainly.com/question/460763
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The complete question is given below:
A rocket is launched straight up with constant acceleration. Four seconds after liftoff, a bolt falls off the side of the rocket. The bolt hits the ground 6.0 s later. What was the rocket’s acceleration?
