Ballast (a) Find the height h(t) (in feet) of the ballast from the ground at time t. Hint: h'(t) = -32t and h(0) = 520. h(t) = |-161? + 520 (b) When will the ballast strike the ground? (Round your answer to two decimal places.) 16.25 X sec (c) Find the velocity of the ballast when it hits the ground. (Round your answer to two decimal places.) ft/sec

Ballast (a) Find the height h(t) (in feet) of the ballast from the ground at time t. Hint: h'(t) = -32t and h(0) = 520. h(t) = |-161? + 520 (b) When will the ballast strike the ground? (Round your answer to two decimal places.) 16.25 X sec (c) Find the velocity of the ballast when it hits the ground. (Round your answer to two decimal places.) ft/sec

Name: Ballast Dropped from a Balloon A ballast is dropped from a stationary
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: Ballast Dropped from a Balloon A ballast is dropped from a stationary hot-air balloon that is hovering at an altitude of 520 ft. The velocity of the ballast after t sec is -32t ft/sec.Ballast(a) Find the height h(t) (in feet) of the ballast from the

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A person tossed a headball up at an initial rate of movement of 15 m / s, and it rose and fell, and that person met it again. Find 1. How high does the ball reach? 2. What was her speed at the moment prior to being caught 3. How much time did the ball spend in the air?
Determine the exit velocity V2 for the given data V1 = 20 m/s, Q3 = 0.01 m3/s, and dh/dt = 0.
The gauge pressure of water at AA is 150.5 kPakPa. Water flows through the pipe at AA with a velocity of 18 m/sm/s, and out the pipe at BB and CC with the same velocity vv. Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mmmm at AA, and at BB and CC the diameter is 25 mmmm . ρwρw = 1000 kg/m Determine the xx component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Express your answer to three significant figures and include the appropriate units. Determine the yy component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Express your answer to three significant figures and include the appropriate units.
A team of jubliant engineering students, celebrating winning a designcompetition, fires their potato gun straight up into the air. (a) Assuming a quadratic airdrag on the potato with magnitude F (v) = mkv^2, and taking +y to be the upward direction,show that the potato speed varies with height above the ground according to the equations:
A stunt man drives a car at speed v = 20 m/s off a H=30 m high cliff. The road leading to the cliff is inclined upward at an angle theta = 10 degrees. Find the time it takes the car to hit the grounf after leaving the cliff? To what maximum height the car reaches to from the cliff? Neglect air drag and the size of the car. Acceleration due to gravity is 9.8 m/s^2
The gauge pressure of water at AA is 150.5 kPakPa. Water flows through the pipe at AA with a velocity of 18 m/sm/s, and out the pipe at BB and CC with the same velocity vv. Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mmmm at AA, and at BB and CC the diameter is 25 mmmm . ρwρw = 1000 kg/m3 Determine the xx component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Determine the yy component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium.
In the dam shown in the figure, the water flows at the entrance of the conduitwith a speed of 0.4 m/s and exits at 9.5 m/s the generator building, 175 m belowof the socket Considering that the temperature of the water in the dam is 28 °C andthat the gravitational acceleration of the place is 9.78 m/s2 , determine:a) The pressure difference between the outlet and the inlet of the intake.b) The diameter of the duct at the outlet connected to the generator building, if theinput area in the socket is 0.7 m2. .
A high diver is performing a dive from a 10-meter platform. The diver jumps off the platformwith an initial vertical velocity of 5 m/s in the direction shown in the figure below. Calculate how long ittakes the diver to reach the water surface, and the magnitude and direction of the velocity of the diver atthat moment.
A 100-ft3 /s wáter jet hits a horizontally lying stationary splitter, such that half of the mass flow is diverted one way and the other half is diverted the other way, and both streams have a uniform velocity of 18 ft/s. The deflection angle of the splitter is 45 degrees as shown. Obtain (a) the cross-sectional area of the jet and (b) the horizontal (x-y) components of the force required to hold the splitter in place.
A ball is dropped from the top of a building 150m high, at the same instantanother is thrown upward from the ground. The balls pass each other at a point60 m above the ground. What was the initial velocity of the second ball? Drawthe figure properly. No figure no point.
A cart is moving at a constant absolute velocity V-›cart = 3 km/h to the right. A high-speed jet of water at an absolute velocity of V-›jet = 15 km/h to the right strikes the back of the car. The relative velocity of the water is (a) 0 km/h (b) 3 km/h (c) 12 km/h (d ) 15 km/h (e) 18 km/h
Consider a ski jumper moving down a track to acquire sufficient speed to accomplish the ski jumping task. The length of the track is I = 30 m and the track makes an angle 0 = 40° with the horizontal. If the skier starts at the top of the track with zero initial speed, determine the takeoff speed, v2. of the skier at the bottom of the track using the conservation of energy principle. Assume that the effects of friction and air resistance are negligible.