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…

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Q: The acceleration due to gravity on planet Uranus is 8.82m/s². A ball is dropped from Uranus from a…

A: Giveng=8.82 m/s2h=6.2 mas ball is dropped so initail velocity of ball, u=0

Q: An airplane flies in a vertical, semicircular arc in order to simulate “weightlessness” for its…

A: for weightlessness the forces must balance, i.e the centripetal force must be balanced by the weight…

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

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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: A car traveling in a straight line with an initial velocity of 34 m/s accelerates at a rate of 2.0…

A: SOlution: Given that initial velocity u = 34 m/s final velocity v = 58 m/s acceleration a = 2.0 m/s2…

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

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Q: A small block is released from rest at the top of a frictionless incline. The distance from the top…

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Q: A high-powered spring cannon discharges its ball at 16.6 m/s. If the cannon is fired at an elevation…

A: The initial velocity of the canon is v=16.6 m/s The cannon is fired at an angle θ=77° Assume the…

Q: You and a couple friends have entered a diving competition during your March Break. You will be…

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Q: A cannon fires a shell traveling 150 m/s in the horizontal direction and 150 m/s in the vertical…

A: Given: The intial velocity of the shell in the vertical direction is 150 m/s. The initial velocity…

Q: A 47.0-kg woman decides to take the elevator to the top of the 100.-m Space Needle in Seattle. On…

A: Given:  Mass of woman, m = 47.0 kg Height, H = 100 m Speed during return,  u = 4.00 m/s Stopping…

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: While playing sock baseball in the living room, a child swings a pair of socks attached to the end…

A: Consider the speed of the socks be v, and the length of the string, that is the radius of the…

Q: On the roof of a 78.4 m tall building, a worker pushes a brick off the edge of the roof with a…

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Q: Consider a toy rocket that undergoes one dimensional motion. It is launched from rest straight up…

A: Given:- ∆t1= time taken to go from o to A a= acceleration of rocket before t1 = acceleration of…

Q: Consider a toy rocket that undergoes one dimensional motion. It is launched from rest straight up…

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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: When an object accelerates at 9.8 m/s2 (or 32 ft/s2), we say it accelerates with 1 g. This is true…

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Q: While playing sock baseball in the living room, a child swings a pair of socks attached to the end…

A: The expression for the centripetal acceleration in a circular motion is: Substitute the known…

Q: acceleration

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Q: Consider a model cart on a roller-coaster track as shown below. The cart rolls down from rest at the…

A: Step 1 :The principle of energy conservation states that the total amount of energy in a closed…

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: A 3,741 kg truck drives along a circular path with a radius of 40.1 m with an acceleration of 4.96…

A: Given data:  Radius (r) = 40.1 m Acceleration (a) = 4.96 m/s2 Required: Velocity (v)

Q: A ball is tied to the end of a string and swung around overhead. The 0.05 kg ball makes a complete…

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

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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 girl on a bicycle takes 12.2 s to ride half way around a circular track of radius 20.0 m (see the…

A: (a) Write the expression for average speed

Q: A student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and…

A: Given: height of the ball above the ground (y) = 1.55 m            time taken by the ball to hit the…

Q: 5. On another planet, a ball is in free fall after being released from rest at time t= 0. A graph of…

A: Simple problem from Kinematics. Please have a good look

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: A girl on a bicycle takes 13.6 s to ride half way around a circular track of radius 12.5 m (see the…

A: (a) Girl’s average speed is,

Q: What is the “mean speed”, or average velocity, of the above falling object during the first 4…

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Q: Wil-E-Coyote drops a bowling ball off a cliff to try to catch the Roadrunner. The cliff is 181.8 m…

A: Every object on the surface of the earth attracts towards the center of the earth. A freely falling…

Q: Sophia drives 30 km at an average speed of 60 km/h and then 30 km at an average speed of 30 km/h.…

A: Given data *Sophia drives at an average speed is u = 30 km/h *Sophia firstly travels the distance is…

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: The acceleration due to gravity at Earth's surface is 9.80 m/s2. What is the acceleration at…

A: Planets have a large amount of mass and hence a large gravitational field. They will attract…

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 –