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Answer:
Step-by-step explanation:
The vertical motion of the object is defined by using the height function h(t) such that :
h(t) = -16t² + vt + s , where t is the time instant , v is the initial velocity and s is the initial height of the object.
Now, the height of the bridge = 200 feet
So it would be the initial height ⇒ s = 200
Initially the speed is 0 because the body is in rest at time instant 0 sec.
Hence, the resultant equation is : h(t) = -16t² + 200
And the graph is attached below :
To prove the QRST is a parallelogram.
Step 1: Given and
Step 2: are alternate interior angles.
Definition of alternate interior angles
Step 3: Alternate interior angle theorem:
If two parallel lines cut by a transversal then the alternate interior angles are congruence.
QR and TS are parallel lines cut by QS.
Therefore,
Step 4: Reflexive property of congruence:
Any geometric figure is congruence to itself.
Therefore,
Step 5: By the above steps
(Angle),
(Angle) and
(Side)
Hence (by ASA congruence theorem)
Step 6: Corresponding parts of congruence triangles are congruent.
Step 7: Property of parallelogram:
If one pair of opposite sides are both parallel and congruent, then the quadrilateral is a parallelogram.
Hence Quadrilateral QRST is a parallelogram.