Assume that an object is launched upwards from the ground with an initial velocity of vo (units of m/s), the ground is taken as

Question

Assume that an object is launched upwards from the ground with an
initial velocity of vo (units of m/s), the ground is taken as the reference
height and t (units of seconds) is the time that elapses after the launch.
The displacement can be denoted by r(t) and is given by the following
equation, x(t) = vot- /gt²,
where g = 9.81 m/s² is the constant acceleration due to gravity.
a) [1 Point]
Find the average velocity of the object over the interval [t, t + h].
b) [1 Point]
Find the instantaneous velocity of the object at time t.
c) [1 Point]
What is the velocity on return to the Earth?
d) [1 Point]
What must you pick for the initial velocity for the object to return to the
Earth after one second?
e) [1 Point]
Show that the object has a constant acceleration.
f) [1 Point]
If the jerk is defined as the derivative of the acceleration, what is the jerk of the object?

Kunduz · Accepted Answer

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