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A cheetah spots a Thomson’s gazelle, its preferred prey,
Chapter 2, Problem 48P(choose chapter or problem)
A cheetah spots a Thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of \(30 \mathrm{~m} / \mathrm{s}\), the highest of any land animal. However, a cheetah can maintain this extreme speed for only \(15 \mathrm{~s}\) before having to let up. The cheetah is \(170 \mathrm{~m}\) from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible reaction time, the gazelle heads directly away from the cheetah, accelerating at \(4.6\) \(\mathrm{m} / \mathrm{s}^{2}\) for \(5.0 \mathrm{~s}\), then running at constant speed. Does the gazelle escape?
Equation Transcription:
Text Transcription:
30 m/s
170 m
4.6 m/s^2
5.0 s
Questions & Answers
QUESTION:
A cheetah spots a Thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of \(30 \mathrm{~m} / \mathrm{s}\), the highest of any land animal. However, a cheetah can maintain this extreme speed for only \(15 \mathrm{~s}\) before having to let up. The cheetah is \(170 \mathrm{~m}\) from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible reaction time, the gazelle heads directly away from the cheetah, accelerating at \(4.6\) \(\mathrm{m} / \mathrm{s}^{2}\) for \(5.0 \mathrm{~s}\), then running at constant speed. Does the gazelle escape?
Equation Transcription:
Text Transcription:
30 m/s
170 m
4.6 m/s^2
5.0 s
ANSWER:
Step 1 of 6
A cheetah tries to catch a gazelle and reaches its top speed quickly. When the cheetah reaches its maximum speed and at the same time the gazelle accelerates for 5 s and reaches its constant speed. We are going to find whether the gazelle escapes or not.
