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Solved: A rigid ball traveling in a straight line (the
Chapter 2, Problem 68P(choose chapter or problem)
A rigid ball traveling in a straight line (the \(x\)-axis) hits a solid wall and suddenly rebounds during a brief instant. The \(v_{x}-t\) graph in Fig. P2.68 shows this ball’s velocity as a function of time. During the first \(20.0 \ s\) of its motion, find
(a) the total distance the ball moves and
(b) its displacement.
(c) Sketch a graph of \(\alpha_{x}-t\) for this ball’s motion.
(d) Is the graph shown really vertical at \(5.00 \ s\)? Explain.
Equation Transcription:
Text Transcription:
s
v_x-t
20.0 s
a_x-t
5.00 s
Questions & Answers
QUESTION:
A rigid ball traveling in a straight line (the \(x\)-axis) hits a solid wall and suddenly rebounds during a brief instant. The \(v_{x}-t\) graph in Fig. P2.68 shows this ball’s velocity as a function of time. During the first \(20.0 \ s\) of its motion, find
(a) the total distance the ball moves and
(b) its displacement.
(c) Sketch a graph of \(\alpha_{x}-t\) for this ball’s motion.
(d) Is the graph shown really vertical at \(5.00 \ s\)? Explain.
Equation Transcription:
Text Transcription:
s
v_x-t
20.0 s
a_x-t
5.00 s
ANSWER:
Solution 68P
STEP 1:
The initial velocity of the object was 0 m/s.
Then it accelerated and reached a velocity of 30 m/s in 5 seconds.
The acceleration is,
.
The distance covered by this time is,
.
STEP 2:-
Next the velocity abruptly reached to -20 m/s, means the direction is also reversed with the magnitude of 20 m/s.