see typo in red, now continue per Chi Meson's hint above.physstudent1 said:Homework Statement
A Rocket initially at rest on the ground accelerates straight upward from rest with constant net acceleration a, until time t_1 where fuel is exhausted.
Homework Equations
The Attempt at a Solution
I thought that putting these values into the kinematic equation
y = Vi(t) + 1/2*a*t^2 would be good but the answer is not 1/2(a)t^2 it is
H = .5(a)t^2 + (.5*a^2*t^2)/g
The kinematic equations are a set of mathematical formulas that describe the relationship between an object's position, velocity, acceleration, and time. These equations are used to analyze the motion of objects in one, two, or three dimensions.
Displacement is the change in an object's position from its starting point to its ending point, and it is measured in a specific direction. On the other hand, distance is the total length of the path an object traveled, and it is measured in a scalar quantity.
To solve a problem using kinematic equations, you first need to identify the known values, such as initial and final positions, initial velocity, and acceleration. Then, choose the appropriate kinematic equation based on the known values and the unknown value you are trying to find. Finally, plug in the known values and solve for the unknown value.
The units of measurement for kinematic equations vary depending on the specific equation being used. However, distance and displacement are typically measured in meters (m), velocity in meters per second (m/s), acceleration in meters per second squared (m/s^2), and time in seconds (s).
Yes, kinematic equations can be used for objects with changing acceleration. In this case, the average acceleration is used in the equations, which is the change in velocity divided by the change in time. However, if the acceleration is constantly changing, more complex equations, such as calculus, may be needed to accurately describe the motion.