Justin visits the Grand Canyon and drops a rock off the edge of a cliff. The rock falls 12 m the first second, 34 m the next second, 56 m the third second, and so on. What would be the total distance the rock falls after 14 seconds?

Q: A beetle walks along the ground going to the east at 0.200km/hr  for 1.000min., then he stops and…

A: Given data: The speed at which the beetle moves for the first t1 time, v1=0.200 km/hr. The time…

Q: An object has an initial velocity of 10 m/s and an acceleration of 3 m/s squared. How long will it…

A: The acceleration is defined as the rate of change of velocity.

Q: A cliff is 75 m high. At its peak, Mary dropped two stones, in which the second stone is dropped 1.4…

A: The time between release of two stones is 1.4 s.

Q: My pug/bulldog mix, Georgia, who is blind and deaf, gets a whiff of her dinner. As soon as it…

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: A meter stick is attached to the oak tree, such that its top is at a height of 2.67 m from the…

Q: A rock thrown straight up into the air has a velocity of y(t) = -9.8t + 20 meters per second after t…

A: Given data The velocity of the rock is yt=-9.8t+20 The duration of the rock is t = 2 s

Q: Calculate the height (in m) of a cliff if it takes 2.24 s for a rock to hit the ground when it is…

A:

Q: A car in stop-and-go traffic starts at rest, moves forward 25min 8.0s, then comes to rest again.What…

A: The distance covered by the car in last 2.0 seconds can be calculated using given steps.

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a man accidentally stubs…

A: Given that: Speed of the nerve impulse in human body: v= 100 m/s Height of the man, d=1.70 m…

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: The displacement of a particle is given by s = 2t3 - 48t2 + 100t - 69 where s is in feet and t is in…

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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…

A:

Q: A distracted driver in a residential neighborhood is travelling at 25 miles per hour. The driver…

A: Write the speed of car in ft/s. v=25 miles/hr=25 miles/hr1.46667=36.67 ft/s

Q: An acorn drops from a tree and takes 1.18 seconds to hit the ground. What height did it fall from?

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Q: Water drops fall from the edge of a roof at a steady rate. A fifth drop starts to fall just as the…

A: From the given information, say the first drop fell at time t=0, then the second drop fall at t=T,…

Q: The Space Shuttle travels at a speed of about 8.15 x 103 m/s. The blink of an astronaut's eye lasts…

A: Speed of the space shuttle,  Time taken by the astronaut to blink,  Length of the football field,

Q: (a) Calculate the height (in m) of a cliff if it takes 2.11 s for a rock to hit the ground when it…

A: Time taken to hit the ground, when the rock is thrown straight up from the cliff, t=2.11 s Initial…

Q: Nerve impulses in the human body travel at a speed of about 100 ms-1. A 1.6m tall man accidentally…

A: Given data The speed of the nerve is given as v = 100 m/s. The height of the man is given as h =…

Q: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such…

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Q: Calculate the height (in m) of a cliff if it takes 2.32 s for a rock to hit the ground when it is…

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Q: rock is dropped from a 166-m-high cliff. How long does it take to fall (a) the first 83.0 m and (b)…

A:

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally…

A: Given : v = 100 m/s d = 2 m

Q: A tortoise can run with a speed of 0.12 m/s, and a hare can run 20 times as fast. In a race, they…

A: (a) Time taken for the race is, DT=35 cm+DHvt=0.35 m+20vt-4 min0.12 m/st=0.35 m+200.12 m/st-240…

Q: From January 26, 1977, to September 18, 1983, George Meegan of Great Britain walked from Ushuaia, at…

A: Basic Details The average velocity is the ratio of total distance covered to that of the total time…

Q: A small rock is thrown straight up from the edge of the roof of a building. Air resistance can be…

A: We are given the maximum height reached by rock above roof. We know that at top most point speed is…

Q: John is walking down a road when he observes a nearby mountain that a boulder is falling. He notices…

A: Given that John is walking down a road and notices  boulder is falling that it took 1.30s for the…

Q: I throw a ball straight up in the air. It travels straight up 2 meters and then straight back down…

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Q: Mary is on the third floor of a building. Suddenly, she dropped her coin and the coin reached the…

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Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 ,…

A: Given data: Acceleration a =2t-6 ms-2 Time t= 6s To determine Position at Time t = 11 s

Q: To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required…

A: Finding the distance travelled by the airplane in first second of runGiven Information:The distance…

Q: Question 6 3 pts At t = 0, a car is going 9 ft/s and is 259 ft from the start of the road. The…

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Q: A rock is dropped from a 164-m-high cliff. How long does it take to fall (a) the first 82.0 m and…

A:

Q: A well-thrown ball is caught in a well-padded mitt. If the deceleration of the ball is 2.10×104 m/s2…

A: The ball’s deceleration is, The time interval of the ball is, In the last, the ball stops, so the…

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: A rock is dropped (from rest) from the top of a 73.9-m-tall building. How far above the ground is…

A:

Q: The figure here shows the speed v versus height y of a ball tossed directly upward, along a y axis.…

A: Given : d = 0.37 m vB = vA/3

Q: Water drops fall from the edge of a roof at a steady rate. A fifth drop starts to fall just as the…

A:

Q: Two rockets are fired upward. The first rocket’s velocity is given by the function v1(t)= 4t; the…

A:

Q: A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The…

A: Given: u=63ft/s, d=70ft (a) The trajectory of the football is found by : h=ut+12gt2 At the highest…

Q: (a) Calculate the height (in m) of a cliff if it takes 2.24 s for a rock to hit the ground when it…

A:

Q: A daredevil jumps off a tall building. He falls freely for several seconds before releasing his…

A: Here is your answer step by step -

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 –