In: Physics

a) An eagle is flying horizontally at 4.4 m/s with a fish in its claws. It accidentally drops the fish.

(i) How much time passes before the fish's speed triples?

___s

(ii) How much additional time would be required for the fish's
speed to triple again?

___ s

b) A soccer player kicks the ball toward a goal that is 28.8 m
in front of him. The ball leaves his foot at a speed of 19.7 m/s
and an angle of 32.2° above the ground. Find the speed of the ball
when the goalie catches it in front of the net. (Note: The answer
is not 19.7 m/s.)

____m/s

c) A dolphin leaps out of the water at an angle of 36° above the
horizontal. The horizontal component of the dolphin's velocity is
9.0 m/s. Find the magnitude of the vertical component of the
velocity.

_____m/s

[A(i)] Given Velocity V_{x}=4.4m/s,

Acceleration g=9.8m/s²

Time t=? When velocity is v= 3×4.4=13.2m/s

Now since vertical velocity component will act , so we need to calculate it first.

So v_{y}=√[v²-v_{x}²]

V_{y}=√[(13.2)² –(4.4)²]

V_{y}=√[174.24–19.36]=12.44m/s

Now for time calculation we use

V_{y}=u+gt

12.44=0+9.8×t

t=12.44/9.8=1.26s

So fish's speed triple in 1.26s

(ii) now when velocity of fish triple again then it becomes

V=4.4×9=39.6m/s

Again we have to calculate vertical component of this velocity,which is

V_{y}=√[v²–v_{x}²]

V_{y}=√[(39.6)²–(4.4)²]

V_{y}=39.35m/s

Now for time

V_{y}=u+gt

39.35=0+9.8t

t=39.35/9.8=4.01s

So when fish's speed triple again time is 4.01s

(B) initial velocity by which ball leaves feet is u=19.7m/s

Horizontal distance is d=28.8m

Angle by which it hit is =32.2°

We have to calculate final Speed of the ball.

For that first we break the component of intial velocity in x and y direction

So u_{x}=19.7cos(32.2)=16.67m/s

Since ball is moving in projectile therefore final velocity in x is

v_{x}=Ux
**=**16.67m/s

now in y direction
u_{y}=19.7sin(32.2)=10.49m/s

time taken by ballvto cover
the distance d is t=d/v_{x}

t=28.8/16.67=1.72s

now we need to calculate final velocity in y direction for which we use

V_{y}=u_{y}-gt

V_{y}=10.49-(9.8×1.72)=-6.36m/s

Now final speed by which golie catches it is

V=√[v_{x}²+v_{y}²]

V=√[(16.67)²+(-6.36)²]

V=√318.32=17.84m/s

An eagle is flying horizontally at 5.7 m/s with a fish in its
claws. It accidentally drops the fish.
(a) How much time passes before the fish's speed
quadruples?
(b) How much additional time would be required for the fish's speed
to quadruple again?

x
An eagle is flying horizontally at 5.3 m/s with a fish in its
claws. It accidentally drops the fish. (a) How
much time passes before the fish's speed doubles?
(b) How much additional time would be required for
the speed to double again?

An eagle is flying horizontally at 5.2 m/s with a fish in its
claws. It accidentally drops the fish. (a) How much time passes
before the fish's speed quadruples? (b) How much additional time
would be required for the fish's speed to quadruple again?

An eagle is flying horizontally at a speed of 4.8 m/s when the
fish in her talons wiggles loose and falls into the lake 7 m below.
Calculate the speed of the fish relative to the water when it hits
the water.

An eagle is flying horizontally at the altitude of 400 ft with a
velocity of 16 ft/s when it drops a dead prey. A frog jumps 2
seconds later at a site facing away from the eagle and 60 ft from
the point beneath the original position of the bird. If the frog
catches the falling prey at the height of 144 ft, determine the
initial speed and angle of inclination of the frog. Please use an
advanced math way...

An airplane flying in the air with a constant velocity of 240
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the engines, directed forwards with a magnitude of 3 × 10^6 N.
a. In light of Newton’s first law, why must there be a third
force acting on the airplane? Calculate the magnitude of this third
force, and explain its physical origin. Draw this third force on...

A crow is flying horizontally with a constant speed of 3.00 m/s
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(Neglect air
resistance.)

A bat flying at 4.80 m/s is chasing an insect flying in the same
direction. The bat emits a 40.0-kHz chirp and receives back an echo
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What is speed of insect (m/s)

An airplane is flying with a velocity of 240 m/s at an angle of
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θ?

A plane is flying horizontally at an altitude of 2 mi and a
speed of 500 mph passes directly over a radar station. Find the
rate at which the distance from the plane to the station is
increasing when it is 3 miles away from the station. Round the
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