A ball is shot straight up into the air with initial velocity of 45 ft/sec. Assuming that the air resistance can be ignored, how high does it go?

Q: A spherical snowball melts at a rate of 36π^2in³/sec. At what rate is the radius of the snowball…

A:

Q: A car is traveling at 88 ft /s when the brakes are fully applied, producing a constant deceleration…

A: Solve for the distance

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: A rocket is fired vertically upward from the ground with an initial velocity of 580 ft / sec. How…

A: Given : Initial velocity = 580 ft/sec

Q: A pulley having a diameter of 36 cm is turned by a belt that moves at the rate of 5 m/sec. How many…

A: In one revolution the pulley will rotate by an angle of 360°. Hence, the belt will cover a distance…

Q: A rectangular trough is 10ft. long and 3ft. wide. Find how fast the surface rises, if water flows in…

A: Since you have asked multiple questions in a single request we will be answering only the first…

Q: Water is poured into a conical paper cup at the rate of 3/2 in3/sec (similar to Example 4 in Section…

A: The situation is as shown below: Consider a small differential element of water at a height of h…

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: At what rate is water pouring into a rectangular bathtub with base 65 fť if the water level rises at…

A: According to the given information it is required to calculate the rate at which water is pouring…

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

A:

Q: consider a rectangular bathtub whose base is 18 ft2. How fast is the water level rising if water is…

A:

Q: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity of 125 ft/s.…

A: Given that: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity…

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 stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

A:

Q: A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

A: Given that

Q: Question 4

A: Let a be the acceleration, v be the velocity, s be the position and t be the time of braking.

Q: What is the velocity (in ft/s) of a sandbag 2.5 s after it is released from a hot-air balloon that…

A: Given that a sandbag is released from a hot-air balloon that is stationary in the air. Then we have…

Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

A:

Q: An egg is thrown off the roof of a 60ft. building with an initial velocity of 6.5 ft/s. How long…

A: Given initial velocity = 6.5fts

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A:

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 inches tall person is walking away from the…

A:

Q: A rocket lifts off the surface of Earth with a constant acceleration of 20 m/sec2. How fast will the…

A:

Q: The altitude of a certain circular cone is the same as the radius of the base, and is measured as 5…

A:

Q: A 10-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

A: Solution..

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

A:

Q: A ladder 10 feet long rests along a vertical wall. If the bottom of the ladder slides away from the…

A: To find the rate of change of the ladder's top changes with wall

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

A:

Q: A simple pendulum, consisting of a mass of 8.237 kg, is attached to the end of a 2.68 m length of…

A: To calculate the speed of the mass (in m/s) at the bottom of the swing. Given that: Mass = 8.237 kg…

Q: An object is thrown vertically upward with an initial velocity of 16 ft/sec from the top of a house…

A:

Q: On the moon, the acceleration due to gravity is 1.6 m/sec2. If a rock is dropped into a crevasse,…

A: Consider the given value of acceleration due to gravity 1.6 m/sec2.

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

A:

Q: A 50 ft ladder is placed against a wall, as shown below. The base of the ladder is slipping away…

A: Let the horizontal distance of the ladder is = x ft Vertical distance = y ft So, Given that:…

Q: A kite, at a height of 60 ft. is moving horizontally at a rate of 5ft/sec. away from the boy who…

A: From the given information, draw a picture.

Q: A ball is shot straight up into the air with initial velocity of 47 ft/sec. Assuming that the air…

A:

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

A: Given: u=88 feetsec, a=-10 fts2, t=3 seconds we know that s=ut+12at2…

Q: A car braked with a constant deceleration of 40 ft/s2, producing skid marks measuring 80 ft before…

A: Deceleration = dv/dt And v = dx/dt where v is the velocity and x is the displacement Hence,…

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

A:

Q: A 35-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 8…

A: Let BC = x = distance from the base of wall to bottom of the ladderAB = y = distance from the base…

Q: A car braked with a constant deceleration of 18 ft/s2, producing skid marks measuring 100 ft before…

A:

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 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 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 15-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 3…

A:

Q: If the basketball hoop is 10 feet high and located 15 feet away, what initial velocity v should the…

A: It is given that the basketball hoop it 10 feet high and located 15 feet away.

Q: A 20-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 6…

A: Let x= horizontal distance y=vertical distance Given that dx/dt=6 ft/sec and x=16 ft At x=16 we find…

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

A: At what rate is the angle between the stringand the horizontal decreasing when 200 ft of string has…

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

A:

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

A: