|| A cheetah spots a Thomson’s gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of 30 m/s, the highest of any land animal. However, a cheetah can maintain this extreme speed for only 15 s before having to let up. The cheetah is 170 m from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible reac- tion time, the gazelle heads directly away from the cheetah, accelerating at 4.6 m/s² for 5.0 s, then running at constant speed. Does the gazelle escape? If so, by what distance is the gazelle in front when the cheetah gives up?

|| A cheetah spots a Thomson’s gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of 30 m/s, the highest of any land animal. However, a cheetah can maintain this extreme speed for only 15 s before having to let up. The cheetah is 170 m from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible reac- tion time, the gazelle heads directly away from the cheetah, accelerating at 4.6 m/s² for 5.0 s, then running at constant speed. Does the gazelle escape? If so, by what distance is the gazelle in front when the cheetah gives up?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: Motion In Two Dimensions

Section: Chapter Questions

Problem 4.5OQ: Does a car moving around a circular track with constant speed have (a) zero acceleration, (b) an...

See similar textbooks

Similar questions

A World War II bomber flies horizontally over level terrain with a speed of 275 m/s relative to the ground and at an altitude of 3.00 km The bombardier releases one bomb. (a) How far does the bomb travel horizontally between it release and its impact on the ground? Ignore the effects of air resistance. (b) The pilot maintains the planes original course, altitude, and speed through a storm of flak. Where is the plane when the bomb hits the ground? (c) The bomb hits the target seen in the telescopic bombsight at the moment of the bombs release. At what angle from tin- vertical was the bombsight set?
(III) A baseball is seen to pass upward by a window with a vertical speed of 14m/s .If the ball was thrown by a person 18 m below on the street, (a) what was its initial speed, (b) what altitude does it reach, (c) when was it thrown,and (d) when does it reach the street again?
A certain volcano on Earth can eject rocks vertically to a maximum height H. (a) How high (in terms of H) would these rocks go if a volcano on Mars ejected them with the same initial velocity? The acceleration due to gravity on Mars is 3.71 m/s2. (Ignore air resistance on both planets.) (b) The rocks are in the air for a time T on Earth, How long (in terms of T) would they be in the air on Mars?
IV. A stone dropped from a cliff hits the ground 3.00 slater. Assuming the acceleration due to gravity is 9.81m/s2 , finda. the velocity of the stone the instant before it hitsthe groundb. the displacement experienced by the stone init’s fall
Give an example in which velocity is zero yet acceleration is not.
(a) In what direction would the ship in Exercise 3.57 have to travel in order to have a velocity straight north relative to the Earth, assuming its speed relative to the water remains 7.00 m/s? (b) What would its speed be relative to the Earth?
Does a car moving around a circular track with constant speed have (a) zero acceleration, (b) an acceleration in the direction of its velocity, (c) an acceleration directed away from the center of its path, (d) an acceleration directed toward the center of its path, or (e) an acceleration with a direction that cannot be determined from the given information?
Is it possible for velocity to be constant while acceleration is not zero? Explain.
(II) A kangaroo jumps straight up to a vertical height of 1.45 m. How long was it in the air before returning to Earth?
A swan on a lake becomes airborne by flapping its wings and running on top of the water. If the swan must reach a velocity of 5.75 m/s to take off and it accelerates from rest at an average rate of 0.350 m/s 2, what distance Δ? does it travel before becoming airborne? Δ?= How much time ? does it take for the swan to become airborne? t=
(II) A driver is traveling 18.0 m/s when she sees a red light ahead. Her car is capable of decelerating at a rate of 3.65 m/s2 If it takes her 0.350 s to get the brakes on and she is 20.0 m from the intersection when she sees the light,will she be able to stop in time? How far from the beginning of the intersection will she be, and in what direction?
A placekicker must kick a football from a point 36.0 m(about 40 yards) from the goal. Half the crowd hopes the ballwill clear the crossbar, which is 3.05 m high. When kicked, theball leaves the ground with a speed of 20.0 m/s at an angle of53.0° to the horizontal. (a) By how much does the ball clear orfall short of clearing the crossbar? (b) Does the ball approachthe crossbar while still rising or while falling?