3. In physics the following formula relates your distance above the ground, d, relative to how long, t, an objec has been in the air: 1 -at? 2 (a) Solve the formula for a, the acceleration due to gravity. d = v,t+ (b) Using your manipulated equation, find the value of a if d = 80, v, = 50 and t = 8. *note: an acceleration towards the ground is negative.
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![**Physics Problem: Motion Under Gravity**
In physics, the following formula relates your distance above the ground, \(d\), relative to how long, \(t\), an object has been in the air:
\[
d = v_0 t + \frac{1}{2} at^2
\]
**(a)** Solve the formula for \(a\), the acceleration due to gravity.
**(b)** Using your manipulated equation, find the value of \(a\) if \(d = 80\), \(v_0 = 50\), and \(t = 8\).
*Note: an acceleration towards the ground is negative.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2c0660f-3c01-420f-bb98-e7e3858d223e%2F4d4892e8-4c2e-4d11-a857-63ff1eb0eb26%2Fyi5mlmp_processed.jpeg&w=3840&q=75)
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