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.

Q: The speed of sound in air is 340 m/s. What is the speed of a supersonic plane at twice the speed of…

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Q: If the fastest you can safely drive is 65 mi/h, what is the longest time you can stop for dinner if…

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Q: you are walking at the same speed of 1.17 m/s.1.17 m/s. Suddenly, you notice a wallet on the ground.…

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Q: A parachutist bails out of a plane and falls freely a distånce of 40 meters. Then, the parachute…

A: The time to fall freely t1=2hg=240 m9.81 ms2=2.86 s The speed when he opens the parachute is v=2gh…

Q: A ball is thrown upward at 4.6 m/s, from a height of 20 m above the ground.  How fast (m/s) does…

A: Given data:  Initial velocity = 4.6 m/s, upward Height = 20 m Required: Velocity of ball when hit…

Q: A stone is thrown straight upward with a speed of 20 m/s. It is caught on s way down at a point 5.0…

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Q: A person can survive a feet-first impact at a speed of about 12 m/s (27 mi/h) on concrete; 15 m/s…

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Q: A man walks on sand at speed 1.20 m/s over a distance of 48.0 m, after which he walks on pavement…

A: Given :- speed on sand = 1.20 m/s distance = 48 m walk on pavement = 102 m  average speed of entire…

Q: When jumping, a flea accelerates at an astounding 1,000 m/s2 , but over only the very short distance…

A: Given values: Acceleration of the flea,a=1000 m/s2 Short distance travelled by flea, s1=0.5 mm…

Q: At an average speed of 11 m/s, how many kilometers can a cyclist travel in a 7 hour day?

A: Given data:  Average speed (Vavg) = 11 m/s Time (t) = 7 hour Required: Distance traveled in…

Q: On the Moon, where the acceleration of gravity is very close to one sixth that of the earth, an…

A: Here  time is given ,t= 7.8 s  Acceleration ,a= g/6

Q: A truck moves with a speed of 92 mi/h. how much is this speed in S.I. units? ( 1 mile = 1.609 km ) O…

A: Given data: Speed (v) = 92 mi/h 1 mi = 1.609 km Required: The speed in SI unit

Q: A bush baby can leap straight up to a height of 2.1 m off the ground. To reach this height, with…

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Q: average speed

A: The expression for the average speed is,

Q: An object is thrown vertically upward such that it has a speed of 25 m/s when is reaches two thirds…

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Q: A stone is thrown straight upward with a speed of 20 m/s. It is caught on its way down at a point…

A: Given value--- initial speed = 20 m/s. height = 5m. We have to find--- time ?

Q: At t = 0, a train approaching a station begins decelerating from a speed of 80 miles/hour according…

A: (a) . At t= 0 , the train starting deaccelerating from a speed of 80 miles/hr. So, at t= 0 , the…

Q: A bush baby can leap straight up to a height of 2.1 m off the ground. To reach this height, with…

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Q: From a velocity of 65 kph, a train decelerates at a rate of 3 m/min2 along a straight path. How far…

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Q: is on a street that has a posted speed limit of vm=75 km/hr and is traveling above the speed limit…

A: GivenSpeed limit, vm=75 km/hSpeed of driver above speed limit, vc=28 km/hDistance between driver and…

Q: The typical American man has a leg length of 0.85 m and walks at a speed of 1.4 m/s. A giraffe’s…

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Q: 3. A high-speed train in Japan travels a distance of 300. kilometers in 3.60 x 103 seconds. What is…

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Q: If the velocity of a moving object is v(t)=t-2/t^2 in meters per second, then what is its…

A: Velocity is defined as the time rate of change of displacement. It is denoted by v and expressed in…

Q: You drive for 100 miles at 20 mph. You then drive 100 miles at 60 mph. Your average speed over the…

A: The distances and their corresponding speeds. d1 = 100 milesv1 = 20 mphd2 = 100 milesv2 = 60 mph

Q: In World War II, there were several reported cases ofairmen who jumped from their flaming airplanes…

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Q: How many minutes Raman will take to cover a distance of 400 meters if he runs at a speed of 20 km/hr…

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Q: The speed (m/s) an accelerating object is traveling is determined by the function v(d) = 9.8d + 8…

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Q: Amel goes for a walk with a speed of 3kph. After 30 minutes of walk, his wife follows him. Walking…

A: Given:  speed of Amel vA=3Kphtime gap between Amel and his wife = 30min =0.5 hrdistance travel by…

Q: A 1050 kg car is traveling at a speed of 25 m/s when the driver sees that there is a tree across the…

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Q: If a stone is dropped from a height of 400 feet, its height s after t seconds is given by s(t) = 400…

A: Given Maximum Height H = 400 ft Instantaneous Height S(t) = 400 - 16t2

Q: Layla's initial speed is 3 m/s, she traveled at a distance = 10m. Using rapid boots, it increases…

A: Given Data : The initial speed of Layla is given as vi=3 ms The distance traveled by Layla is given…

Q: A ball is thrown straight upward from ground level with a speed of   22 m/s How much time passes…

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Q: A bicyclist accelerates at 0.89 m/s^2 during a 5s interval. If she started at 2.3m/s, what was the…

A: Initial speed of the cyclist is u=2.3 ms Acceleration of the cyclist is a=0.89 ms2 Acceleration time…

Q: Echoes return in 2.5 secs to a person standing in front of a cliff. How far away is the cliff? The…

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Q: where f (t) is measured in miles per hour, and t is measured in hours, with t = 0 corresponding to 6…

A: Since it is a problem to find maximum and minimum points, it is a type of absolute extrema problem.…

Q: Wile E. Coyote is chasing Roadrunner at 15 m/s when he sees a cliff 50.0 m in front of him. He tries…

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Q: Weddell seals make holes in sea ice so that they can swim down to forage on the ocean floor below.…

A: distance, d = 0.3 km=300 m  time, t = 5min = 300 s

Q: tortoise crawls the entire 1000.0 meters at a speed of 0.20 m/s. first 200.0 meters at 2.0 m/s,…

A: Given: Speed of the tortoise is u1 = 0.2 m/s            Initial speed of the rabbit is u2 = 2 m/s…

Q: Miles wants to chase a truck that is going at a speed of 25.0 kph, and thus starts accelerating from…

A: Given: Speed of truck =25 km/hr= 6.94 m/s Miles initial speed =0 Miles acceleration(amiles)=4 m/s2…

Q: Q.2: A person crosses a 600 metre long street in 5 minutes. What is his speed in km per hour? A 8.2…

A: Given data : Time=t Distance=d   Required : Speed

Q: An automobile starting from rest speeds up to 72 kph with a constant rate of 4 m/s', runs at this…

A: Given data u=0V=20 m/sa=4 m/s2a=-5 m/s2

Q: Susan lives 1.85 km [E] from the school and her good friend, Mary, lives 1.14 km [W] from the school…

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Q: A cat is playing in the backyard of his owner's place. It can be seen moving back and forth, such…

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Q: A car traveled at a rate of 50 km/hr for 8 minutes and then at 25 km/hr for 7 min and finally at 20…

A: Given Velocities of car are    v1=50 km/h=13.9 m/sv2=25 km/h=6.94 m/sv3=20 km/h=5.556 m/s Total time…

Q: When the legal speed limit for the New York Thruway was increased from 55 mi/h to 65 mi/h, how much…

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Q: What average speed, most nearly, is required to run a mile (1.6 km), in 4 minutes? a. 5.0 m/s b.…

A: Distance to be travelled is S = 1.6 km  => S = 1.6 × 1000 = 1600 m  Time required = 4 min => t…

Q: A physics student with a stopwatch drops a rock into a very deep well, and measures the time between…

A: Given: The speed of the sound is 343 m/s. The total time is 6.2 s. The initial speed of the stone is…

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –