A 500-g ball at the level ground is kicked at a velocity of 30 m/s at an angle 25 degrees from horizontal. Find the time of flight of the ball.

Q: velocity

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

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 5 cm/min.…

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Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of  6cm/min.…

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Q: Each side of an equilateral triangle measures 3 cm, with a possible error of 0.1 cm. Using…

A: This question is taken from the differentiation in which we have to find the relative error in the…

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

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Q: Find the velocity v of an ocean freighter that is traveling 30° south of east at 30 km/hr.

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Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower…

A: Given that - A stone is thrown vertically upward with a velocity of 40 feet per second from the top…

Q: A spherical balloon is inflated with air at a rate of 32 cm3/ min. At what rate does the radius…

A: Find dr/dr.

Q: Find the velocity of an air conditioner accidentally dropped from a height of 300 m at the moment it…

A: By Galileo's formula for falling down the body s(t)=s0+v0t-12gt2   ,    v(t)=v0-gt As given an air…

Q: A light is hung 6 meters above a straight horizontal path.  If a man 2 meters tall is walking toward…

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Q: The sides of a square decrease in length at a rate of 1 m/s. At what rate is the area of the square…

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Q: Suppose the velocity of an object moving along a line is positive. Are displacement and distance…

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Q: A baseball diamond has the shape of a square with sides 90 feet long, suppose the player is running…

A: It is given that a baseball diamond has the shape of square with side 90 feet long. Construct the…

Q: A rock is tossed at an initial velocity of 60 m/s at an angle of 10° with the ground. After 0.9…

A: The solution of above question is written below.

Q: A spherical balloon is being deflated at a rate of 80 cm³/min. At what rate is the radius decreasir…

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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

Q: Find the velocity v of an ocean freighter that is traveling northeast (45° east of north) at 40…

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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: A boat heads north across a river at a rate of 4 miles per hour. If the current is flowing east at a…

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Q: The velocity function (in meters per second) is given for a particle moving along a line.

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Q: pherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min. At…

A: The radius of the balloon decreases at the rate of =15 cm/min let radius of balloon =r then…

Q: A motorcycle traveling at a speed of 34.0 mi/h needs a minimum of 44.0 ft to stop. If the same…

A: Stopping distance is given by the formula d=kv2

Q: An automobile weighing 5500 lb is driven down a 5° incline at a speed 60 mi/h when the brakes are…

A: Weight of the automobile = 5500 lb (pound-mass) = 2494.758 kg Velocity of the automobile = 60 mi/h =…

Q: A passenger is traveling on a luxury train that is moving west at 80 mph (miles per hour). While…

A: A passenger is travelling on a luxury train that is moving west at 80mph . While running the…

Q: A body has a mass of 11 kg falls freely from rest. After falling 553 m, what will its velocity be…

A: There are two methods for calculating the velocity.In first method by using the equation of motion…

Q: A parachutist of mass 52.4 kg jumps out of a stationary hot air balloon. Use the equation in photo…

A: Introduction: When an equation is given, we can determine the function value by putting different…

Q: An object is thrown vertically upward from a point 32 feet above the ground with an initial velocity…

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Q: A ladder 3.9 m long is placed in a vertical plane which is at right angle to the vertical wall, the…

A: Given :                     The height of the ladder = 3.9m                     Let x…

Q: The turbine fan blade of a turbojet engine is 1.2 m in diameter and rotates at 250r/s. How fast is…

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

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Q: Find the linear velocity of a point on the edge of a wheel rotating 35 times per minute. The…

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Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min.…

A:

Q: What is the displacement of an object that travels at a constant velocity of 10 mi/hr for a half…

A: Consider the given information 10mihr for a half hour and  20mihr for a next half hour and 30mihr…

Q: A ball is shot from the ground straight up into the air with initial velocity of 40 ft/sec. Assuming…

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Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

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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: A baseball diamond is a square with with side 90 feet (between the bases). A batter hits the ball…

A: Roughly draw the situation first Where x= Distance covered by batter at time t D= Distance of the…

Q: A computerized spin balance machine rotates a 25-inch-diameter tire at 480 revolutions per minute.…

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Q: A ball is shot from the ground straight up into the all velocity of 48 ft/sec. Assuming that the air…

A: Given that  Initial velocity=48 ft/sec To find How high does the ball goes.

Q: A ball is shot from the ground straight up into the air with initial velocity of 43 ft/sec. Assuming…

A: To find the height  ball goes up to.

Q: A 90 kg man lying on a surface of negligible friction shoves a 81 g stone away from himself, giving…

A: Explanation of the answer is as follows

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

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Q: A gas line-driven lawnmower has a blade that extends out 1 foot from its center. The tip of the…

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Q: What constant acceleration is required (a) to move a particle 50 ft in 5 sec; (b) to slow a particle…

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

A: See the details solution in below

Q: A ball is shot from the ground straight up into the air with initial velocity of 41 ft/sec. Assuming…

A: Explained below

Q: An automobile weighing 4500 lb is driven down a 5° incline at a speed o 60 mi/h when the brakes are…

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Q: A baseball thrown directly upward at 160 ft/sec has velocity v(t) = 160- 32t ft/sec at time t…

A:

Q: A cannon is fired at an angle of 75° with the ground at an initial velocity of 250 m/s. Calculate…

A: To find the speed

Q: a projectile is fried upward from ground level with an initial velocity of 244 ft/sec. how high will…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.