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 react ion time, the gazelle heads directly away from the cheetah, accelerating at 4.6 m/s 2 for 5.0 s, then running at constant speed. Does the gazelle escape? If so, by what distance is the gazelle in from 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 react ion time, the gazelle heads directly away from the cheetah, accelerating at 4.6 m/s 2 for 5.0 s, then running at constant speed. Does the gazelle escape? If so, by what distance is the gazelle in from 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 react ion 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 from when the cheetah gives up?
A 11 kg weight is attached to a spring with constant k = 99 N/m and subjected to an external force
F(t) =-704 sin(5t). The weight is initially displaced 4 meters above equilibrium and given an
upward velocity of 5 m/s. Find its displacement for t> 0.
y(t)
ון
7. A race car accelerates from rest to 55 m s-1 in 5.0 seconds. The acceleration of
the car Is
m s-²
8. An object's speed increases uniformly from 10.5 km per hour to 99.8 km per
hour in 2.41 seconds. Calculate the acceleration in m s-2 and express your
answer to three significant figures.
9. The acceleration-time graph of a car is shown below. The initial speed of the
car is 5.0 m s-1.
#
Acceleration (ms)
12
8.0-
4.0-
2.0
4.0
6.0
Time (s)
Calculate the velocity of the car at t = 4.0 s.
3
Chapter 2 Solutions
Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)
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