A lion is watching a zebra from 35m behind it. Both are stationary. The lion then starts chasing by accelerating at a constant rate of 3m/s^2 for 5s. Once at the top speed the lion decelerates at 0.5m/s^2. The zebra starts moving 1s later after the lion started, accelerating at a constant rate of 2m/s^2 for 7s before maintaining a constant speed. a) show that the lion has not caught the zebra after 8s. b) show that the gap between them at time ts, for t>8, after the start of the lion's motion is given by 0.25t^2-5t+51/2, and hence, determine when the lion catches the zebra or when the lion gets closest and how close it gets. 9 A lion is watching a zebra from 35 m behind it. Both are stationary. The lion then starts chasing by acceleratingat a constant rate of 3ms-2 for 5s. Once at top speed the lion decelerates at 0.5 ms-2. The zebra starts moving1s after the lion started, accelerating at a constant rate of 2 ms? for 7s before maintaining a constant speed.a Show that the lion has not caught the zebra after 8 s.b Show that the gap between them at time t s, for t>8, after the start of the lion's motion is given by- S+* and hence determine when the lion catches the zebra, or when the lion gets closest and how512close it gets.

SolutionGiven,Lion is watching Zebra from 35m behindacceleration of Lion = a1 = 3mj2 for…

Answered: 9 A lion is watching a zebra from 35 m…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 36PE: An express train passes through a station. It enters with an initial velocity of 22.0 m/s and...

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A lion is watching a zebra from 35m behind it. Both are stationary. The lion then starts chasing by accelerating at a constant rate of 3m/s^2 for 5s. Once at the top speed the lion decelerates at 0.5m/s^2. The zebra starts moving 1s later after the lion started, accelerating at a constant rate of 2m/s^2 for 7s before maintaining a constant speed. a) show that the lion has not caught the zebra after 8s. b) show that the gap between them at time ts, for t>8, after the start of the lion's motion is given by 0.25t^2-5t+51/2, and hence, determine when the lion catches the zebra or when the lion gets closest and how close it gets.

9 A lion is watching a zebra from 35 m behind it. Both are stationary. The lion then starts chasing by accelerating
at a constant rate of 3ms-2 for 5s. Once at top speed the lion decelerates at 0.5 ms-2. The zebra starts moving
1s after the lion started, accelerating at a constant rate of 2 ms? for 7s before maintaining a constant speed.
a Show that the lion has not caught the zebra after 8 s.
b Show that the gap between them at time t s, for t>8, after the start of the lion's motion is given by
- S+
* and hence determine when the lion catches the zebra, or when the lion gets closest and how
51
2
close it gets.

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