Question

4. You are an engineer designing the suspension of an ATV. You want to ensure that the vehicle doesn't \"bottom out\" even when landing from being airborne. A first order approximation describing the vertical acceleration of the suspension upon impact is $a(s) = 9.8(1 - 9.0s)$ in units of m/s², where the initial vertical velocity during impact is $v_0 = 1.5$ m/s with the spring initially uncompressed, $s_0 = 0$. a) What is the vertical velocity of the ATV chassis after the spring is compressed 0.2 m? b) What is the maximum distance the spring gets compressed? (Hint: Find the velocity as a function of position, s. The max. distance occurs at the turnaround point.)

          4. You are an engineer designing the suspension of an ATV.
You want to ensure that the vehicle doesn't \"bottom out\"
even when landing from being airborne. A first order
approximation describing the vertical acceleration of the
suspension upon impact is
$a(s) = 9.8(1 - 9.0s)$
in units of m/s², where the initial vertical velocity during
impact is $v_0 = 1.5$ m/s with the spring initially
uncompressed, $s_0 = 0$.
a) What is the vertical velocity of the ATV chassis after
the spring is compressed 0.2 m?
b) What is the maximum distance the spring gets
compressed? (Hint: Find the velocity as a function of
position, s. The max. distance occurs at the
turnaround point.)

4. You are an engineer designing the suspension of an ATV.
You want to ensure that the vehicle doesn't b̈ottom outëven when landing from being airborne. A first order
approximation describing the vertical acceleration of the
suspension upon impact is
a(s) = 9.8(1 - 9.0s)
in units of m/s², where the initial vertical velocity during
impact is v0 = 1.5 m/s with the spring initially
uncompressed, s0 = 0.
a) What is the vertical velocity of the ATV chassis after
the spring is compressed 0.2 m?
b) What is the maximum distance the spring gets
compressed? (Hint: Find the velocity as a function of
position, s. The max. distance occurs at the
turnaround point.)

Added by Kevin J.

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