Question: A 1000-lb object is released from rest 600 ft above the ground and allowed to fall under the influence of gravity. Assuming that the

A 1000-lb object is released from rest 600 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 25v, where v is the velocity of the object in ft/sec, determine the equation of motion of the object. When will the object hit the ground? Assume that the acceleration due to gravity is 32 ft/sec and let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. x(t) = 40t - 50 (1 - e - 41/5) When will the object hit the ground? The object will hit the ground after seconds. (Round to three decimal places as needed.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

QUESTION 1 (20 marks) The transfer function of an open loop system is: 5Ks Go(s) = s + 2s +4 The open loop system consists of a controller, a differentiator and a plant whose transfer functions are...

An object of mass 3kg is released from rest 500 meters above the ground and allowed to fall under the influence of gravity. The force due to air resistance is proportional to the velocity of the...

Let, production function, Q = 30 K0.7 L0.5,rate of interest = Rs 20, wage rate = Rs 30 i. Compute marginal productivity of two inputs lobar and capital. ii. Derive an equation for the expansion path...

A 3 2 0 - lb object is released from rest 5 0 0 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 2 0 v , where v is...

I need help with this problem please. Unless otherwise stated, in the following problems we assume that the gravitational force is constant with g = 9.81 m/sec in the MKS system and g = 32 ft/sec in...

Unless otherwise stated, in the following problems we assume that the gravitational force is constant with g = 9.81 m/sec in the MKS system and g = 32 ft/sec in the U.S. Customary System. 2. A 400-lb...

Homework; Prueba Question 5' x3..42 extemporanea Encuentro HW Score: 0%, 0 of 20 points lntermedio 0 Points: u of1 A1UUD-Io object is released from rest 500 ft above the ground and allowed to fall...

An object of mass 550 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of...

Can you write it on paper and round two decimal places and determine equations read the question to answer please give me write answer LS eels cial) An object of mass 10 kg is released from rest 4000...

An object of mass 10 kg is released from rest 3000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of...

A restaurant manager tracks complaints from the diner satisfaction cards that are turned in at each table. The data collected from the past week's diners appear in the following table: Complaint Food...

The Kaplan-Meier curve in Figure 9.17 displays hypothetical estimated survival probabilities of death due to brain cancer, where time (from diagnosis) until death is measured in months. Figure 9.17...

Find the integral o f the following a . c o s x 1 + s i n 2 x 2 d x

Steam at To,1 300 C flows in a cast iron pipe [k = 80 W/ m. C] whose inner and outer diameter are D1 = 4 cm and D2 = 5 cm, respectively. The pipe is covered with a 3 cm thick glass wool insulation [k...

Assume a company has two processing departmentsMolding and Packaging. Transactions for the month are shown as follows. 1. The Molding department requisitioned direct materials totaling $2,000 to be...

What will be the thermal equilibrium of an ice with 10 degree temperature and a mango juice with 50 degree temperature?

If Ziggy Company concluded that an investment originally classified as held to maturity would now more appropriately be classified as available for sale, Ziggy would A. reclassify the investment as...

Zeroth, First, and Second Law of Thermodynamics illustration and result/reflection?

Can we put that she will be making weekly payroll deductions inthe amount of $52.75 to the housing equalling $211.00 monthly

A defect in a diamond appears to be 2.0 mm below the surface when viewed from directly above that surface. How far beneath the surface is the defect?

A long straight wire carries a current of 3.2 A in the positive x -direction. An electron, traveling at 6.8 Ã 106 m/s in the positive x - direction, is 4.6 cm from the wire. What force acts on...

A skater is initially spinning at a rate of 10.0 rad/s with a rotational inertia of 2.50 kgm2 when her arms are extended. What is her angular velocity after she pulls her arms in and reduces her...

When have you seen groupthink, the Abilene Paradox, or the Lucifer Effect take place in a group? What conditions gave rise to them?

Think of two different conflict situations with individuals you know well and see often. In the first situation, the other person is subordinate to you (you have some authority over her or him at...

How have you seen issues of autonomous and positive face create conflicts in your experience? What have you done to resolve issues of autonomous and positive face? Are the strategies you use for each...