A Projectile Is Launched Vertically Upward from the Surface of Mars

question 50

Essay

A projectile is launched vertically upward from the surface of Mars. The table below gives the height of the object at the indicated time following launch. $$\begin{array}{l}\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | } \hline \text { Time (seconds): } & 0 & 0.4 & 0.8 & 1.2 & 1.6 & 2.0 & 2.4 & 2.8 & 3.2 & 3.6 \\\hline \text { Height (feet): } & 0 & 18.2 & 34.4 & 48.4 & 60.4 & 70.4 & 78.3 & 84.2 & 88.1 & 90.0 \\\hline\end{array}\\\\\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | } \hline \text { Time (seconds): } & 4.0 & 4.4 & 4.8 & 5.2 & 5.6 & 6.0 & 6.4 & 6.8 & 7.2 & 7.6 \\\hline \text { Height (feet): } & 89.6 & 87.3 & 82.9 & 76.5 & 68.1 & 57.6 & 45.1 & 30.5 & 13.8 & 0 \\\hline\end{array}\end{array}$$
(a) Graph the data.
(b) Using the data, compute the average velocity of the projectile on the following time intervals:
(i) [0; 4.0]
(ii) [0.8; 3.2]
(iii) [1.2; 2.8]
(iv) [1.6; 2.4]
(v) [2.0; 2.4]
(vi) [1.6; 2.0]
(c) Estimate the velocity of the projectile when t = 2.0. Justify your results.(d) Using your graph and the table of values, determine when the projectile reaches its maximum height. Justify your answer.(e) Using the graph and table of values, estimate the velocity of the projectile throughout the interval [0; 7.6] and sketch a graph of this velocity.

Examine the psychological and social mechanisms behind the bystander effect and its implications in emergency situations.

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Recognize how power dynamics between teachers and students evolve over time.

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Definitions:

Policies And Programs

Established guidelines and planned activities designed to achieve specific goals within an organization.

Facial Expressions

The movements of the muscles beneath the skin of the face, used as non-verbal communication to convey emotions and reactions.

Posture

The way in which someone holds their body when standing or sitting, often reflecting confidence, attitude, or current state of health.

Vocal Intonations

The variation in pitch while speaking, which can affect the meaning, emotion, or emphasis conveyed by the speaker.