Question: A data collection probe is dropped from a stationary balloon, and it falls with a velocity (in m/s) given by v(t) = 9.8t, neglecting air

A data collection probe is dropped from a stationary balloon, and it falls with a velocity (in m/s) given by v(t) = 9.8t, neglecting air resistance. After 10 s, a chute deploys and the probe immediately slows to a constant speed of 10 m/s, which it maintains until it enters the ocean.

a. Graph the velocity function.

b. How far does the probe fall in the first 30 s after it is released?

c. If the probe was released from an altitude of 3 km, when does it enter the ocean?

Step by Step Solution

★★★★★

3.49 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The velocity is given by ... View full answer

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 Calculus Early Transcendentals Questions!

The ledger of Wildhorse Company contains the following balances: Owner's Capital $28,600, Owner's Drawings $2.700, Service Revenue $50,000, Salaries and Wages Expense $27,100, and Supplies Expense...

A water balloon is dropped from a cliff. Exactly 3 sec later, the sound of the balloon hitting the ground reaches the top of the cliff. How high is the cliff?

A certain ball has the property that each time it falls from a height onto a hard, level surface, it rebounds to a height rh, where 0

Data set: WingLength2 If you completed the helicopter research project, this series of questions will help you further investigate the use of regression to determine the optimal wing length of paper...

Help me answer the following General Directions: Read and analyze the following questions. 1. What is the shape of the trajectory of a projectile? A. Circular C. Hyperbolic B. Elliptical D. Parabolic...

answer the following l. 2. 4. Joseph measures his bathroom tiles to be 10 in by 8 in. Given the conversion factor. 1 in = 2.54 cm. what are the length and width in cm? 20.32 cm by 19,9 cm 25.5 cm by...

1. What is a tangent line and what is it used for? Sketch an example. 2. What value is the slope of a v vs t graph for a free-falling object? Why? 3. If wind resistance was included in the previous...

QUESTION 1 A driver in a car traveling at a speed of 28.8 m's sees a deer 100 m away on the road. Calculate the minimum constant acceleration that is necessary of the car to stop without hitting the...

A model rocket is constructed with a motor that can provide a total impulse of 24.0 N-s. The mass of the rocket is 0.202 kg. What is the speed that this rocket achieves when it is launched from rest?...

Whenever you see observation, prediction, and question then you need to solve it please solve it in ms word Open Capstone File - Experiments and Data - Lab 01 - 2305 Part 3.cap Part 2: Motion with...

I need help with this lab. Please answer questions for pages 4-7. Freefall Purpose: We will measure the value of 'little g', or the acceleration due to gravity on the surface of Earth. The particular...

Design a resistance strain gauge type pressure transducer, with the following specifications: Maximum pressure, to be measured 2 bar Diameter of steel diaphragm 8 cm Size of resistance gauges used 3...

The taxpayer is engaged in business with the following data for taxable year 2021, the first year of operation: MANILA Sales Rent income Cash dividends from foreign corporation Property dividends...

Receipt number Receipts ( 1 ) A capital gain realised by a taxpayer on the sale of their investment property. ( 2 ) A subsidy payment made by the government to an Australian manufacturer to support...

13-11 Why did Amazon change its position regarding online sales taxes and why does it now support the Marketplace Fairness Act? (AACSB: Communication; Reflective thinking) pg99

Find the limit, if it exists, or show that the limit does not exist. 3x 2 lim (x. y)(2, 3) 4x? - y?

Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all...

Find the first partial derivatives of the function. et w u + v? 2

What is the sustainable growth rate for 2015? 13.97% 14.46% 15.54% 12.63% 10.91% Assume that all costs, assets, and accounts payable change spontaneously with sales. For simplicitys sake, assume...

Please help in using R ! Thank you Public vs. Private How do private universities and public colleges compare with respect to debt at graduation incurred by students? Read in the CollegeDebt file,...

Your line is currently operating at full standard capacity You are putting in new equipment which will make the line more efficient and last for 10 years The equipment will increase the capacity of...