An astronaut stands by the rim of a crater on the moon, where the acceleration of gravity is 1.62 m/s2. To determine the depth of the crater, she drops a rock and measures the time it takes for it to hit the bottom. If the time is 10.3 s, what is the depth of the crater? 32 m 10 m 26 m 14 m 86 m

Q: NASA is launching a rocket into space from Earth.  This particular rocket burns its fuel for 5…

A:

Q: Consider the case of a student wishing to investigate the acceleration of a small cart in a lab…

A: Velocity versus time graph

Q: The velocity as a function of time for an asteroid in the asteroid belt is given by…

A:

Q: A coin is dropped on a planet where the acceleration due to gravity has a magnitude of 8.8 m/s2.…

A: Given data:  A coin is dropped on a planet  Acceleration due to gravity (g) = 8.8 m/s2 Time (t) =…

Q: A passenger has an inward acceleration of 10.08×103 m/s? while riding a Ferris wheel that is 56.1 m…

A: diameter = 2 r = 56.1 m radius = r = 28.05 m acceleration = a = 10.08 x 10-3 m/s2

Q: A string passing over a frictionless pulley has a mass of 7 kg attached to one of its ends. To the…

A: solution as

Q: It takes earth 365 days to complete one orbit around the sun. Knowing that the magnitude of the…

A:

Q: A rocket is fired from rest at x = 0 and travels along a parabolic trajectory described by…

A:

Q: Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a…

A: Using kinematic equation of motion,

Q: A one-dimensional gas molecule moves along the +x-axis with a constant acceleration of 4 m/s^2. What…

A: Given,  a = 4 m/s2  As we know that, the average velocity is given by Vavg = Δx/Δt…

Q: A bath toy is floating stationary in water such that half of the toy is above water and half of the…

A:

Q: As the first human astronaut to land on a distant planet, you are standing on the edge of a small…

A: Given data:  Maximum height reached = 3.0 m Height of cliff = 10 m Acceleration (a) = -5.6 j m/s2…

Q: An object moves along a straight line and experiences a constant acceleration of +1.53 cm/s2. At t =…

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Q: In a cathode-ray tube, electrons are projected horizontally at 8.5 x 106 m/s and travel a horizontal…

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Q: A woman runs 100 meters north, and then 70 meters south, her total displacement is 30 m south 30 m…

A: Consider the positive y axis to be North and the negative y axis to SouthDisplacement in north…

Q: The acceleration due to gravity on the surface of Mars is reported as 3.7 m/s2. Express this value…

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Q: That is the gravitational acceleration near the earth's surface.  if you rise high above the earth,…

A: Write the formula for the gravitational acceleration.

Q: An astronaut is exploring a planet which has a gravitational acceleration of only 5.59 m/s2. If the…

A: Given data The initial velocity is given as u = 13.7 m/s. The acceleration applied on the ball is…

Q: A 86.1 kg stone is dropped from the top of a building. It takes 9.1 s for the stone to hit the…

A: Given data: Mass m = 86.1 kg time t = 9.1 s

Q: In a laboratory experiment, a sphere of diameter 8.0 mm is released from rest at t = 0 at the…

A: Given  V = Vmax( 1 - exp(-t/τ))   Where Vmax = 0.040 m/s  τ = 0.50 sec

Q: 7. Gravity is a bit different on Mars. A rock is kicked off the surface of Mars. It reaches a…

A:

Q: You attach a meter stick to an oak tree, such that the top of the meter stick is 2.67 meters above…

A: The diagram of the system is given below:                                               According…

Q: The Cassini spacecraft traveled with a companion module, Huygens, that split off so that it could…

A: Given:  u = 0 m/s  a = 1.352 m/s2 h = 1.4 m

Q: you drop a ball from a height of 2.00 m above the floor. The ball hits the floor 0.319 s after your…

A: Write the given values with the suitable variables. h=2 mt=0.319 su=0 m/s Here, h is the height, t…

Q: A car is traveling at the speed of V m/s on a straight, level road. After the brakes are applied at…

A: Given: the position of car , s = (1/112)(t^3) - t^2 + 10t, the velocity of car ,v = ds /dt…

Q: As you are driving to school one day, you pass a construction site of a new building and you stop to…

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Q: oped from a height H from the floor with the zero initial velocity. The ball is falling under the…

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Q: Problem 10: On the moon the acceleration due to gravity is 1/6 of Earth's. A ball is thrown straight…

A: Given data: The acceleration due to gravity on the moon = g/6 Where g is the acceleration due to…

Q: An object with a mass of 2,000 kg moves with a constant speed of 20 m/s on a circular track with a…

A:

Q: Calculate the acceleration due to gravity and the deviation for each height. The chart below…

A: Acceleration due to gravity is the acceleration experienced by every free falling body. Acceleration…

Q: A package of mass m = 2.00 kg is released from rest at the top of an inclined plane as seen in the…

A:

Q: An object moves along a straight line and experiences a constant acceleration of +1.36 cm/s2. At t =…

A:

Q: A tennis ball with a speed of 27.8 m per s is moving perpendicular to a wall. After striking the…

A: The expression for the required acceleration is,

Q: A space shuttle is in orbit about the earth at an altitude where the acceleration due to gravity is…

A: Given: The acceleration due to gravity is 8.7 m/s2. The radius of the earth is 6.4x106 m.

Q: A pilot is flying a plane at 220 m/s and an altitude of 500 meters. If she needs to deliver supplies…

A:

Q: Acceleration is sometimes expressed in multiples of g, where g = 9.8 m/s2 is the magnitude of…

A: Write the kinematic equation, and substitute 26m/s for u, 0m/s for v, and 0.15s for t in the below…

Q: A particle has a velocity of v= (3i+5j)m/s and a constant acceleration of a=(-1.5i-4.5j)m/s^2 What…

A:

Q: On the planet Koozebane, if a pebble is dropped from height h, it falls to the surface in time t.…

A: Given value--- acceleration = 4.1 m/s2.  height = 4.9 m. We have to find--- time ?

Q: If you are sitting at the equator on Earth, what would your average speed be knowing that the radius…

A: Given: Earth's radii, R=6.37×106  m. Standard data: Gravitational constant, G=6.7×10-11 Nm2/kg2…

Q: A cat chases a mouse across a 1.7 m high table. The mouse steps out of the way, and the cat slides…

A: Given data The height is h=1.7 m  The distance is d= 1.5 m The acceleration of gravity is g=9.81…

Q: A coin is dropped on a planet where the acceleration due to gravity has a magnitude of 8.9 m/s2.…

A:

Q: Use the following data to calculate the velocity and acceleration of a free falling object.  The…

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Q: a distant star, the velocity of an asteroid changes from from +20.7 km/s to −19.1 km/s over a period…

A:

Q: A test rocket is fired vertically upward from a well. A catapult gives it initial speed 60 m/s at…

A: Initial velocity = u= 60m/sAcceleration = a =5.0m/s2Vertical displacement = 1100 mUsing equation of…

Q: An object is thrown straight up on planet X with an initial speed of 45 m/s. What is the…

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Q: An object is traveling East through the earth’s atmosphere at 20.0 km/s while at the same time…

A:

Q: In 1992, a 14-kg meteorite struck a car in Peekskill, NY, leaving a 20-cm-deep dent in the trunk. If…

A: Let u be the initial velocity of meteorite, v be the final velocity, a be the acceleration, t be 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 –