The Empire State Building in New York City is 381 meters tall.  If a penny were dropped from rest at that height, how many seconds would it take to strike the street below?  Air resistance would make a significant difference in the real world case, but ignore air resistance for now.

Q: A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above…

A: Given:- A rocket is fired upward from some initial distance above the ground. Its height (in feet),…

Q: A robot has been designed and is tested on the course above (A-B-C-D-E). If the robot takes 3.4…

A: Required to find the average speed of the robot.

Q: A car traveling at 20 m/s runs out of gas while traveling up a 9.0 slope. Part A How far will it…

A: Please see the answer below

Q: A worker at the top of a 482-m-tall television transmitting tower accidentally drops a heavy tool.…

A: According to the conservation of energy, the total energy of the tool must be constant. At the…

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: The height of the ball is given by the expressiony=46t-21t2Comparing this equation with kinematical…

Q: A skater with mass 50 kg is moving on a horizontal surface at the speed of 6.7 m/s and sees a ramp…

A: We have the following data: The mass of the skater is m=50 kg The initial speed of the skater is…

Q: An arrow is shot at an angle of 27° above the horizontal with an initial speed of 50 m/s. How long…

A: Given data:  A projectile motion Angle (θ) = 27°, above the horizontal Initial speed (u) = 50 m/s…

Q: Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN wake…

A:

Q: A proton initially has v = 3.0i – 9.0 j + 2.0k and then 4.0 s later has v = -9.0i – 9.0j + 3.0k (in…

A:

Q: When visiting a friend in Atlanta you decide to drive around the city. You turn a corner and are…

A: Given data: The total displacement of the car is s=50 ft. The speed limit on this street is Vm=25…

Q: A stone is thrown horizontally with a speed of 12 m/s from the edge of a 10 m high cliff. With what…

A: Given : Horizontal speed (vox) = 12 m/s Initial position of stone (yo) = 10 m Final position (y) = 0…

Q: A tennis ball is kicked horizontally off the edge of a 33 m high building and lands a distance of 22…

A: Given data:  A ball is kicked horizontally  Vertical height (h) = 33 m Horizontal displacement (x) =…

Q: If an egg is dropped from rest and takes 0.8 seconds to hit the ground, what is the height, in…

A: Given Data: The time taken by egg to hit the ground is: t=0.8 s The gravitational acceleration is:…

Q: Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN…

A:

Q: A worker at the top of a 488-m-tall television transmitting tower accidentally drops a heavy tool.…

A:

Q: A car moving along a straight horizontal road accelerates fromn a speed of 10 m/s to a speed of 30…

A: Solution: given that u = 10 m/s v = 30 m/s distance s = 133 m

Q: A roadrunner is cruising at 14 m/s without knowing the road under its feet is about to run out, at…

A: The roadrunner is moving with a constant initial velocity of 14 m/s. It then comes at the end of a…

Q: Question: Caroline and Jennifer are standing on a rooftop. Caroline drops a ball straight down to…

A: Given: In the given problem one object is released and the second is thrown with a certain velocity.…

Q: Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN wake…

A: Height ( s ) = 2.35 m Time ( t ) = 0.554 s Initial velocity ( u ) = 0 ms-1

Q: A board 2.5 m long leans against a vertical wall. It starts to slide down the wall. The instant the…

A:

Q: A plane traveling horizontally at 30.0 m/s at an altitude of (2.42x10^2) m drops a package to people…

A:

Q: box full of basketballs is dropped from an aircraft moving upward at 14 m/s. If it takes 9.5 s…

A:

Q: A car is initially at rest on a straight road. The graph shows the speed of the car as a function of…

A:

Q: The Moon is about 3.8 ✕ 108 m from Earth. Traveling at the speed of light, 3.0 ✕ 108 m/s, how long…

A: Given: The distance of the moon from the earth is 3.8x108 m. The speed of the light is 3x108 m/s.

Q: By looking at the figures given below, obtain the vectors given in the options and in terms of…

A:

Q: Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN wake…

A: The objective of the question is to find the acceleration of the rocket. We can use the second…

Q: An electron's position is given by = 4.00tî - 5.00t2 j + 6.00k, with t in seconds and r in meters.…

A:

Q: A roadrunner is cruising at 6 m/s without knowing the road under its feet is about to run out, at…

A:

Q: A tourist at a rim of a canyon yells "hello!" toward the opposite side. She hears the echo "hello"…

A: Data  we have Speed of sound,v=340m/s time required for echo to travel,t=4s To find d=?

Q: An object is thrown upward at a speed of 55 feet per second by a machine from a height of 18 feet…

A: initial velocity u = 55ft/sec initial position = 18ft  h(t)=-16t2+55t+18   ---------eqn(1)

Q: The Moon is about 3.8 x 108 m from Earth. Traveling at the speed of light, 3.0 x 108 m/s, how long…

A: Given that:-Distance between moon and earth, d=3.8×108 mSpeed of light, c=3.0×108 m/sJourney is…

Q: A boy tosses a coin straight up to 2.2 m. Suppose the height when the coin leaves his hand is 1.3 m.…

A: Initial height of the coin in boy's hand = 1.3 m The height of the coin when it tosses = 2.2 m The…

Q: A roller coaster has speed of v0=6.2 m/s as it hits the peak of a h=31.5m dip. What is the car's…

A: According to the conservation of total mechanical energy, the total mechanical energy of a system…

Q: A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base…

A:

Q: An enthusiastic NVCC student goes to an amusement park to ride on a roller coaster. The height of…

A: The height of the first hill = 80mThe potential energy due to this height = mgh=m∗9.81∗80=784.8m…

Q: How high was the cliff?

A: Diver's initial speed(u) = 2.6m/s Time taken = 3.1 sec Acceleration due to gravity (g) = 9.81 m/s2…

Q: A dog initially at rest, starts running inside a circular track with a 40π m circumference. The…

A:

Q: You are working part-time for the GT Sports Media Complex, editing video for the women’s softball…

A: An impulse is a large force acting on an object in a small interval of time. It is given by the…

Q: A tourist at a rim of a canyon yells "hello!" toward the opposite side. She hears the echo "hello"…

A: Given data The speed of the sound is given as v = 340 m/s. The time duration to hear the echo sound…

Q: You jump off the end of a ski jump. Your height in meters relative to the height of the ski jump…

A: Given that :Height equation h(t)=-5t2+12tTime t = 6 seconds

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 –