A hunter is standing 350 feet away and fired a bullet straight up at a bird on a tree at a rate of 15 ft/sec. At what rate is the distance between the hunter and the bullet increasing  i) 20 seconds after liftoff?  ii) 1 minute after liftoff?

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15…

A: 6)

Q: Can the distance traveled by a particle ever be less than its displacement? When are they equal?

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

Q: each side of a square increases at a rate of 1.5cm/sec .also find the rate at which the area of the…

A: Given,   Each side of a square increases at a rate of 1.5 cm/sec

Q: A 13-foot ladder leans against a wall. The foot of the ladder begins to slide away from the wall at…

A:

Q: A baseball is thrown straight downward with an initial speed of 40 ft/s from the top of the…

A: Let t be the time taken by the ball to reach the ground and the velocity of the ball is v. Now, the…

Q: 16 foot ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

A:

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

Q: A ladder 15 ft long leans against a vertical wall. If the top slides down at the rate of 2 ft per…

A:

Q: A softball diamond has the shape of a square wide sides 60 ft long. If a player is running from…

A: A softball diamond has the shape of a square with sides 60 ft long. A player is running from second…

Q: The tires of a bicycle have a radius of 12 inches and are turning at the rate of 100 revolutions per…

A:

Q: A kite 30 m above the ground moves horizontally at a speed of 10 m/min. At what rate is the angle…

A:

Q: A 40-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 7…

A: Find the rate of the top of ladder sliding down.

Q: . A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: We make diagram of the situation .

Q: Water flows at the rate of 2000 cibic cm per second into a verical cylindrical tank 120 cm in…

A: Given: Water flows at the rate of 2000 cubic cm per second into a vertical cylindrical tank 120 cm…

Q: A water trough Is 15 feet long, and its cross section Is an equilateral triangle with sides 4 feet…

A: Answer is mentioned below

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: A water tank has the shape of an inverted circular cone with base radius 2 m and height 4 m. If…

A:

Q: A small rocket is launched straight up in the air at a speed of 4ft/sec. A camera on the ground, 10…

A: Consider the given information. At any time t, rocket is at C tanθ=ACAB=AC10

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15…

A:

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

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

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: a) Water is flowing into a leaky cistern at the rate of 31.4 cu ft./min. The cistern is a right…

A: Given that  The water is flowing into a leaky cistern at the rate of 31.4 cu ft./min ⇒dVdt=31.4…

Q: 9. Assume that oll spined tanker spreads in a pattern whose radius increases a the constant rate of…

A:

Q: Water is flowing at the rate of 6 ft/min into a tank that is in the shape of a right circular…

A: Given data:   The rate at which water is flowing in the cylindrical tank is dV/dt =6 ft3/min. The…

Q: A 500-g ball at the level ground is kicked at a velocity of 30 m/s at an angle 25 degrees from…

A:

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 kite 100 ft above the ground moves horizontally at aspeed of 8 ft/s. At what rate is the angle…

A:

Q: A train, starting at noon, travels north at 40 ml per hr. Another train, starting from the same…

A:

Q: A snail slid 7 cm down a stalk and climbed 5 cm back up. Hlow far was the snail below its original…

A: Given : A snail moves 7 cm down then moves 5 cm up.

Q: A softball diamond is a square whose sides are 60 ft long. Suppose that a player running from first…

A: Suppose , y is the distance from the home and x is the distance from first base. Given that ,…

Q: An automobile with 0.310 m radius tires travels 95,000 km before wearing them out. How many…

A: An automobile with 0.310m radius tires travels 95,000km before wearing them out. We have to find how…

Q: 4. A basketball player is 7 feet tall walking away from a light that is 28 feet above the ground at…

A:

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 26 foot ladder is sliding down a vertical wall.  The base of the ladder is sliding away from the…

A:

Q: 5. A baseball diamond has the shape of a square with sides 90 ft long. A player 60 ft from second…

A:

Q: A baseball diamond has the shape of a square with sides 90 ft long, as shown. A player is running…

A: A baseball diamond has the shape of a square with sides 90 feet long. A player running from second…

Q: A car is moving at 60 mi/hr (88 ft/sec) on a straight road when the driver steps on the brake pedal…

A: Given  Initial speed of the car =60 mi/hr (88 ft/sec) deceleration =12 ft/sec^2  time =3 sec

Q: The two equal sides of an isosceles triangle with fixed base b are b are decreasing at the rate of 3…

A: Solution :-

Q: A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At which rate is the angle…

A: Given,  Consider the height of the lite from the ground is 100 ft. The speed is dxdt=8 ft/s. To find…

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: 29. A kite 100 feet above the ground is being blown away from the person holding its string. It…

A: Solution Let initially  kite was at position A while person holding Kite was at position O such that…

Q: 37. A baseball player runs from home plate toward first base at 20 ft/s. How fast is the player's…

A:

Q: 5. must the ball be launched to land 450 ft from the base of the building? A golf ball is hit in a…

A:

Q: OA man 6 ft tall walks at a rate of 6 ft/sec away from a lamppost that is 19 ft high. At what rate…

A:

Q: A ladder 35 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A:

Q: A stone is dropped into a quiet lake and waves move in the form of circles at a speed of 4 cm/ sec.…

A: Please see the answer in Step 2.

Q: An angler has a fish at the end of a line. The line is reeled in at 2 ft/sec from a bridge 30 feet…

A:

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

A:

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3/min. If the radius of the base is 18…

A: