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A ball was vertically launched from rest under the force of gravity and follow a trajectory represented in Figure 4. (a)Determine the x(t) for t = 0, 1, 2, 3,4 5, 6, 7, and 8 sec. (b)Determine the position and time at the vertex. (c)Describe the motion of the ball at the vertex by computing the ball’s position and speed in this point. (d)Describe the motion of the ball at t = 0 (the initial conditions) by computing the ball’s position and speed at t = 0 sec. (e)How was the ball launched at moment t =0 sec? (i) Up, (ii) Down, (iii) Horizontal, (iv) None of the above

A ball was vertically launched from rest under the force of gravity and follow a trajectory represented in Figure 4. (a)Determine the x(t) for t = 0, 1, 2, 3,4 5, 6, 7, and 8 sec. (b)Determine the position and time at the vertex. (c)Describe the motion of the ball at the vertex by computing the ball’s position and speed in this point. (d)Describe the motion of the ball at t = 0 (the initial conditions) by computing the ball’s position and speed at t = 0 sec. (e)How was the ball launched at moment t =0 sec? (i) Up, (ii) Down, (iii) Horizontal, (iv) None of the above

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A ball was vertically launched from rest under the force of gravity and follow a trajectory represented in Figure 4.

(a)Determine the x(t) for t = 0, 1, 2, 3,4 5, 6, 7, and 8 sec.

(b)Determine the position and time at the vertex.

(c)Describe the motion of the ball at the vertex by computing the ball’s position and speed in this point.

(d)Describe the motion of the ball at t = 0 (the initial conditions) by computing the ball’s position and speed at t = 0 sec.

(e)How was the ball launched at moment t =0 sec? (i) Up, (ii) Down, (iii) Horizontal, (iv) None of the above

 

 

**Figure 4:** The graph in Figure 4 represents the relationship between position and time for a certain motion. The x-axis is labeled "Time (sec.)" and ranges from 0 to 9 seconds. The y-axis is labeled "Position (m)" and ranges from 0 to 4.5 meters. The graph describes a parabolic curve which starts at the origin (0,0), indicating the start of motion. The curve rises to a peak at approximately (4.5 seconds, 4.5 meters), representing the maximum height reached by the moving object. After the peak, the curve descends back down, reaching a position of 0 meters at around 9 seconds. This type of graph is often associated with projectile motion, where an object is projected into the air and follows a trajectory due to the influence of gravity, reaching a peak height before descending back to the ground.
Transcribed Image Text:**Figure 4:** The graph in Figure 4 represents the relationship between position and time for a certain motion. The x-axis is labeled "Time (sec.)" and ranges from 0 to 9 seconds. The y-axis is labeled "Position (m)" and ranges from 0 to 4.5 meters. The graph describes a parabolic curve which starts at the origin (0,0), indicating the start of motion. The curve rises to a peak at approximately (4.5 seconds, 4.5 meters), representing the maximum height reached by the moving object. After the peak, the curve descends back down, reaching a position of 0 meters at around 9 seconds. This type of graph is often associated with projectile motion, where an object is projected into the air and follows a trajectory due to the influence of gravity, reaching a peak height before descending back to the ground.
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