Q#4: (i) An object is dropped straight down from a helicopter. The object falls faster and faster but its acceleration (rate of change of its velocity) decreases over time because of air resistance. The acceleration is measured in ft/sec? and recorded every second after the drop for 5 sec, as shown: 1 3 4 a 32 19.41 11.77 7.14 4.33 2.63 a. Find an upper estimate for the speed when t= 5. b. Find a lower estimate for the speed when t= 5. c. Find an upper estimate for the distance fallen when t= 3.

Q#4: (i) An object is dropped straight down from a helicopter. The object falls faster and faster but its acceleration (rate of change of its velocity) decreases over time because of air resistance. The acceleration is measured in ft/sec? and recorded every second after the drop for 5 sec, as shown: 1 3 4 a 32 19.41 11.77 7.14 4.33 2.63 a. Find an upper estimate for the speed when t= 5. b. Find a lower estimate for the speed when t= 5. c. Find an upper estimate for the distance fallen when t= 3.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 34PE: In World War II, there were several reported cases of airmen who jumped from their flaming airplanes...

See similar textbooks

Similar questions

A driver traveling at night on a country road suddenly sees another car pull out into the roadway in front of him.He slams on his brakes and skids for a distance of 72.9 m until he hits the other car. If the driver slowed with constant acceleration of 4.8m/s² for 4.5 s,with what speed would he hit the other car?
In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a 220-m-long cannon with final speed of 10.97 km/s. What would have been the unrealistically large acceleration experienced by the space travelers during their launch? (A human can stand an acceleration of 15g for a short time.) Compare your answer with thr free-fall acceleration, 9.80 m/s^2
In problem 11, if the dragstrip is ¼ mile, or 402.3 meters long, at the acceleration of 24.1 m/s2, what is the time that thedragster records for his or her quarter mile run to two decimal places assuming uniform acceleration during the entirelength of the track? What was the dragster’s final velocity in miles per hour (two decimal places) when it crossed thefinish line and deployed its parachute?
A drunk man was driving his car at a speed of 25.0 m/s (or 90 kph) when he saw a cow in the middle of the road, 50.0 m away from him. It took him 0.400 s to react at which the car was moving at constant speed. After that, he stepped on the brakes to stop at a rate of 6.00 m/? . Is this acceleration enough to save him and the cow from an accident?
Do highway speed limit signs refer to average speeds or to instantaneous speeds? Explain.
In World War II, there were several reported cases of airmen who jumped from their flaming airplanes with no parachute to escape certain death. Some fell about 20,000 feet (6000 m), and some of them survived, with few life-threatening injuries. For these lucky pilots, the tree branches and snow drifts on the ground allowed their deceleration to be relatively small. If we assume that a pilot's speed upon impact was 123 mph (54 m/s), then what was his deceleration? Assume that the trees and snow stopped him over a distance of 3.0 m.
The average speed of a vehicle on a stretch of Route 134 between 6 A.M. and 10 A.M. on a typical weekday is approximated by the function f(t) = 30t − 60√t + 70 (0 ≤ t ≤ 4) where f (t) is measured in miles per hour, and t is measured in hours, with t = 0 corresponding to 6 A.M. At what time of the morning commute is the traffic moving at the slowest rate? _ A.M. What is the average speed of a vehicle at that time? _ mph
In problem 11, if the dragstrip is ¼ mile, or 402.3 meters long, at the acceleration of 25.2 m/s2, what is the time that the dragster records for his or her quarter mile run to two decimal places assuming uniform acceleration during the entire length of the track? What was the dragster’s final velocity in miles per hour (two decimal places) when it crossed the finish line and deployed its parachute?
A truck traveling along a straight ,level road at 45 miles per hour when the driver is forced toapply the brakes to avoid an accident. If the brakes supply a constant deceleration of 22 ft/s2,determinea.) the expressions for the truck’s velocity v and position c at anytime tb.) how long will it take to stop?c.) how far does the car travel before coming to a complete stop?ANS.:a.) v(t) = 66 – 22t and s(t) = 66t – 11t2 ; b.) 3 sec. ; c.) 99
A particle’s velocity along the x-axis is described byv(t) = A t + B t2,where t is in seconds, v is in meters per second, A = 1.06 m/s2, and B = -0.51 m/s3. What is the distance traveled, in meters, by the particle between times t0 = 1.0 s and t1 = 3.0 s?
While standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 7.27m/s. The stone subsequently falls to the ground, which is 13.9 m below the point where the stone leaves his hand. At what speed does the stone impact the ground? Ignore air resistance and use epsilon = 9.81 m / s ^ 2 for the acceleration due to gravity What is the impact speed in m/s? How much time is the stone in the air? Elapsed time
If an arrow is shot upward on Mars with a speed of 66 m/s, its height in meters t seconds later is given by y = 66t − 1.86t2. (Round your answers to two decimal places.) (a) Find the average speed over the given time intervals. (i) [1, 2] m/s(ii) [1, 1.5] m/s(iii) [1, 1.1] m/s(iv) [1, 1.01] m/s(v) [1, 1.001] m/s (b) Estimate the speed when t = 1.