Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.44 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.1 mm. If the floor is carpeted, this stopping distance is increased to about 1.2 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. hardwood floor magnitude ______________m/s2 hardwood floor duration ________________ ms carpeted floor magnitude ______________m/s2 carpeted floor duration ________________ms

Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.44 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.1 mm. If the floor is carpeted, this stopping distance is increased to about 1.2 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. hardwood floor magnitude m/s2 hardwood floor duration ms carpeted floor magnitude m/s2 carpeted floor duration ____ms

Similar questions

29. The position of a particle for t> 0 is given by r(t) = (3.01² i-7.0t³ -5.0t² k) m. (a) What is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What is the particle's velocity at t = 2.0 s? (d) What is its speed at t = 1.0 s and t = 3.0 s? (e) What is the average velocity between t= 1.0 s and t = 2.0 s? Solution
A springbok is an antelope found in southern Africa that gets its name from its remarkable jumping ability. When a springbok is startled, it will leap straight up into the air—a maneuver called a “pronk.” A particular springbok goes into a crouch to perform a pronk. It then extends its legs forcefully,accelerating at 35 m/s2 for 0.70 m as its legs straighten. Legs fully extended, it leaves the ground and rises into the air.a. At what speed does the springbok leave the ground?b. How high does it go?
An object moves along a straight line and experiences a constant acceleration of +1.36 cm/s2. At t = 4.6 s, its velocity is -3.41 cm/s. Express your answers in cm/s. What was the object’s velocity at t = 1.86 s?
A tennis ball with a speed of 27.8 m per s is moving perpendicular to a wall. After striking the wall, the ball rebounds in the opposite direction with a speed of 20.016 m per s. If the ball is in contact with the wall for 0.0133 s, what is the average acceleration of the ball while it is in contact with the wall? Take toward the wall to be the positive direction. Answer in units of m per s2.
Figure out the acceleration due to gravity ( g ) on various hypothetical alien planets. On planet #2, you launch a projectile straight up from the ground at a speed of 27.9 m/s. The projectile reaches a maximum height of 75.5 m before falling back to the ground. What is the value of g for planet #2?
Chapter 02, Problem 086 A motorcyclist who is moving along an x axis directed toward the east has an acceleration given by a = (6.20 - 2.20t) m/s2 for 0 s t S 6.0 s. At t = 0, the velocity and position of the cyclist are 2.90 m/s and 7.3 m. (a) What is the maximum speed achieved by the cyclist? (b) What total distance does the cyclist travel between t = 0 and 6.0 s? Units (a) Number (b) Number Units Click if you would like to Show Work for this question: Open Show Work SAVE FOR LATER SUBMIT ANSWER Question Attempts: Unlimited odf section 8.2.pdf Show all 1:40 PM e to search ENG 3/21/2021 16 home pause .PSUp וm) prt sc F10 end f12Pgdn break insert delet & 7. 8 backs - 近
The next few questions challenge you to figure out the acceleration due to gravity ( g ) on various hypothetical alien planets. On Planet #1, you drop a stone from rest, 92.3 m above the ground, and the stone hits the ground 6.18 s later. What is the value of g on Planet #1? 1 14.94 m/s^2 2 29.87 m/s^2 3 4.83 m/s^2 4 2.42 m/s^2
A pole-vaulter is nearly motionless as he clears the bar, set 4.2 m above the ground. He then falls onto a thick pad. The top of the pad is 80 cm above the ground, and it compresses by 50 cm as he comes to rest. What is his acceleration as he comes to rest on the pad?
Modern oil tankers weigh over a half-million tons and have lengths of up to one-fourth mile. Such massive ships require a distance of 5.7 km (about 3.5 mi) and a time of 22 min to come to a stop from a top speed of 31 km/h. what is the magnitude of the ships average acceleration in m/s^2 in coming to a stop? what is the magnitude of the ships average velocity in m/s?
The velocity of a parachutist as a function of time is given by v = vf + (v0 - vf)e-t/2.5, where t = 0 s corresponds to the instant the parachute is opened, v0 = 160 km/h is the velocity before opening of the parachute, and vf = 18 km/h is the final (terminal) velocity. What acceleration does the parachutist experience just after opening the parachute? (m/s^2)
WEB 9. A position-time graph for a particle moving along the x axis is shown in Figure P2.9. (a) Find the average velocity in the time interval i = 1.5 s to t = 4.0 s. (b) Determine the instantaneous velocity at i = 2.0 s by measuring the slope of the tangent line shown in the graph. (c) At what value of tis the velocity zero? x(m). 12 10- 8 6 4 2 - t(s) 6. 1 2. 3. .5 "Activate Windows
A car traveling 89 km/h strikes a tree. The front end of the car compresses and the driver comes to rest after traveling 0.81 m. a) What was the average acceleration of the driver during the collision? b) Express the answer in terms of g.

SEE MORE QUESTIONS

GET THE APP

About FAQ Academic Integrity Sitemap Document Sitemap

Contact Bartleby Contact Research (Essays)High School Textbooks Literature Guides Concept Explainers by Subject Essay Help Mobile App

GET THE APP

Privacy

Your CA Privacy Rights

Your NV Privacy Rights

Cookie Policy

About Ads

Manage My Data

bartleby, a Learneo, Inc. business

hardwood floor magnitude	______________m/s²
hardwood floor duration	________________ ms
carpeted floor magnitude	______________m/s²
carpeted floor duration	________________ms