A student drops an object out the window of the top floor of a high-rise dormitory. (a) Neglecting air resistance, how fast is the object traveling when it strikes the ground at the end of 3.9 s? First used standard British units and then express the speed in mi/h for a familiar comparison. (ft/s and mi/h) (b) How far, in meters, does the object fall during the 3.9 s? Comment on how many floors the dormitory probably has. (Assume that there are 32 floors/100 m.)

Q: A student drives the 105-mi trip back to campus after spring break and travels with an average speed…

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Q: Shown below is a graph of velocity versus time for a moving object. The object starts at position x…

A: Given Data:  Initial position of object x=0 m Final time t=2 s At t=2 s, velocity (v)= 10 ms

Q: A baseball is thrown straight down from a height of 38 meters. If the ball strikes the ground at 30…

A: Given data: Height (h) = 38 m Final velocity (v) = 30 m/s, downward g = 9.80 m/s2 Required: Initial…

Q: Using highway mileposts, you clock 4 min,45 s to go 5 m. If the mileposts are accurate, what's the…

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Q: A block is moving along the x-axis and its position varies in time according to the expression x =…

A: Given: x = 3.00 m/s2t2 a Position at t = 3.20 sxat t=3.20 = 33.202∴xat t=3.20 = 30.72 m

Q: A ball rolls off a table. It hits the ground 1.12 seconds later. How high is the table? Answer in…

A: Given data The time taken by the ball to reach the ground is t = 1.12 s. The initial vertical…

Q: A motorcyclist is traveling at 13.6 m/s and accelerating at 3.05 m/s? for 2.1 s, how far does it…

A: Given(s): Initial speed, u=13.6 m/s. Acceleration, a=3.05 m/s2. Time, t=2.1 s Require:  Distance…

Q: The average person passes out at an acceleration of 7g (that is, seven times the gravitational…

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Q: (a) Calculate the height (in m) of a cliff if it takes 2.10 s for a rock to hit the ground when it…

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Q: A student drives 1.91 km due west to get coffee before class. The trip to get coffee takes her 7.00…

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Q: The height of an object thrown upward with an initial velocity of 32 feet per second is given by the…

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Q: A student drives the 105-mi trip back to campus after spring break and travels with an average speed…

A: Given: Total distance of the trip = 105-mi, Average speed for the first part of the trip, v1 = 56…

Q: Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled…

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Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

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Q: A car accelerates with the acceleration a(s) = k · s^n m/s^2, where s is distance in meters, k =…

A: Given Acceleration a = ksn k = 1.190 n = 0.731 final speed v = 1.75 m/s

Q: As your friend skateboards down a hill, you measure their velocity at 1.0-second intervals. You…

A: Given data:  Initial velocity at t = 0.0 s u = 0.0 m/s Final velocity at t = 2.0 s v = 4.6 m/s…

Q: An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground.…

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Q: Consider the given grap the following: 1. The acceleration from 0 s to 2 s 2. The acceleration from…

A: This problem can be solved using basic formula of linear acceleration and distance.

Q: An Olympic bobsled goes 41 m in 2.6 s. How fast was it travelling in m/s? Be sure to answer with the…

A: Speed is given by V = distance/time

Q: A startled armadillo leaps upward, rising 0.589 m in the first 0.219 s. (a) What is its initial…

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Q: Alice is riding a bike at 12 mph, but decides to sprint.  She takes 0.7 s to accelerate to 19 mph.…

A: Acceleration defined as a rate of change of velocity. Acceleration is a vector quantity, because it…

Q: Walk along a long straight level path in the woods you go 30 m in 6.2 s, stop for 32 s, and then…

A: Given Data : The initial distance travelled in the woods is given as d1 = 30 m. The time taken to…

Q: a person walks for 1.00 hr at a speed of 2.00 mi/hr. he stops for 1.00 hr. he then starts walking…

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Q: Construction work in the city means you have to drive at a steady 23 km/h. Once past this zone, you…

A: Given value--- initial speed = 23 km/h. past this zone, you speed up to 56 km/h in 10 s. We have…

Q: An athlete wants to run a 1500m race with an average velocity of 6.00 m/s. After running the first…

A: The speed of the athlete in the first 500 m is,

Q: A motorist drives 100 km from one city to another in 2.80 h but makes the return trip in only 2.00…

A: The average speed of the total trip can be expressed as,

Q: On an avenue, a car travels with a speed of 38 m / s. If the speed limit of 75 mi / hr., will the…

A: Speed of car is 38 m/s. Let it be V. Speed limit is 75 mi/hr.

Q: braking

A: Given: The velocity of the racing car = 52 m/s The final velocity of the car = 0 time taken by the…

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 –