(d) When does it hit the ground? (e) With what velocity does it hit the ground?

Q: 3. A man 6 ft tall walks along a straight path away from a lamp post 15 ft high at the rate of 2…

A:

Q: c. A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec.…

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Q: 4. A boy is flying a kite at a height 150 ft. If the kite moves horizontally away from the boy at…

A: Given query is to find the rate of change of length of string.

Q: velocity

A: We have : h=12t2+12t We have to find the velocity of the balloon at the end of the 39 sec.

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Q: Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal-…

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Q: A kite 160 feet above the ground moves in a direction parallel to the ground at the rate of 5 feet…

A: Let, x= the horizontal distance of the kite y=the length of the string Given that dx/dt=5 ft/sec  We…

Q: sw A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base…

A: Solve the given

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Q: 8. (LO 8) A 10-foot ladder is leaning against a high wall. The base of the ladder starts to slide…

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Q: A rock is dropped from a height of 85.4m and falls toward Eart in a straight line. In t seconds the…

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Q: 10. A boy is flying a kite at a constant height of 60 ft. If the kite is moving horizontally at the…

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Q: use 4.9t 2 + v0t = s. 29. Downward Speed. A stone thrown downward from a 100-m cliff travels 51.6 m…

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Q: a ball is thrown straight upwards from a tower (40 feet high) so that its position, s in feet, at…

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Q: Suppose a rock falls from rest from a height of 100 meters and the only force acting on it is…

A: When any object falls from rest , it means the initial velocity of the rock is 0 m/s . The equation…

Q: Can instantaneous velocity be defined as a ratio? If not, how is instantaneous velocity computed?

A: We know that instantaneous velocity is the average velocity between two points on the path in the…

Q: 3. What is the velocity after 7 seconds?

A: Explanation of the answer is as follows

Q: Two airplanes are flying in the air at the same height: airplane A is flying east at 290 mi h and…

A: Given that:                      Speed of plain A, vA=290 mi/hSpeed of plain B, vB=290 mi/hDistance…

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Q: A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away fromher at a…

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Q: 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet…

A: From the question, Height of the man is 6 ft. Height of the street is 12 ft. y=The length of the…

Q: 21. In basebalI, a batter stands 2 feet from home plate as a pitch is thrown with a velocity of 130…

A: Answer is mentioned below

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Q: 3. If a person is running west in downtown Austin at 2.5 km/hr relative to the ground and from his…

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Q: An object is moving so that it's velocity after t hours is v(t)=te^-t^2 mph. How far does it travel…

A: Hey the equation of velocity that you have written is v(t)=t·e-t2mph following is the solution to…

Q: 13. An observer stands 700 ft away from a launch pad to observe a rocket launch. The rocket blasts…

A: We have to find relation between distance travelled by rocket from ground and distance of rocket…

Q: 10. A stone is dropped from a building 256 ft high. How long it takes the stone to reach the ground?…

A: As per given information: Height of building: h=256ft. a) As the formula: As stone is dropped so…

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Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A: Given that: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet…

Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.

Q: 11. An airplane is flying parallel to the ground at an altıtude of 2 km and at a speed of 4 km/min.…

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Q: Tires of a bicycle have radius 30 inches and are turning at the rate of 2000 revolutions per hour.…

A: For a circle of radius r its circumference is given by 2πr. For a circle rolling on the ground in…

Q: A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from her at…

A: Given A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from…

Q: At noon a car starts from rest at point A and proceeds at constant acceleration along a straight…

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Q: Find the velocity and acceleration of a body moving according to the following equation S-ts.1 when…

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Q: 3) A camera is located on the ground 3000 ft from the spot where a rocket takes off. If the rocket…

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Q: a) When does the top of the ladder reach the ground? b) Determine the velocity of the end of the…

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Q: What constant acceleration is required to increase the speedof a car from 30 mih to 50 mih in 5 s?

A: Given: u=30 mihour, v=50 mihour, t=5 second for finding acceleration, first we convert given…

Q: 4. The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward…

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Q: An aircraft is climbing at a 300 angle to the horizontal. How fast is the aircraft gaining altitude…

A: An aircraft is climbing at a constant 30 degree angle to the horizontal and the speed is 500 mph…

Q: A ceiling fan has blades 61.0 cm long. What is the linear velocity of the tip of a blade when the…

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Q: a. How fast is the top of the ladder sliding down the wall when the base of the ladder is 12 feet…

A: It is given that the length of ladder is 13 foot which acts as the hypotenuse of the right angled…

Q: A man walks along a straight path at a speed of 4ft/s. A searchlight is located on the ground 30…

A: Given data is : dxdt=4 ft/sec To find the Rate of the searchlight is rotating

Q: Assume the acceleration of the object is  a(t) = −32  feet per second per second. (Neglect air…

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Q: 9. A balloon, leaving the ground 60 ft. from the observer, rises 10 ft. per sec. How fast is the…

A: 9- Given- The ballon leaving the ground 60ft. from the observer rises 10 feet per second. To find-…

Q: 4. A 25-ft long ladder is leaning against a vertical wall. The foot of the ladder is on a horizontal…

A: To solve the following problem.

Q: A man walks along a straight path of 4m/s. A searchlight is located on the ground 25m from the path…

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Q: 2. A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches…

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Q: 3. After the blast-off, a space shuttle climbs vertically and a radar-tracking dish, located 1,000…

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Q: At time t seconds, the center of a bobbing cork is 2sin(2t) centimeters above or below water level.…

A: ft=2sin2t Now velocity is the derivative of position with respect to time. So differentiating…