For safety reasons, the speed of a child at the bottom of a playground slide cannot exceed 6.0 m/s. What is the maximum height of the slide?     1.8 m     2.9 m     3.2 m     4.5 m

Q: A small child is climbing up a slide angled at 18.0° above the horizontal. They only make it 0.700 m…

A: Inclination angle Distance traveled

Q: a rock is tossed straight down with a speed of 5.8 m/s and it falls into a hole 32 m deep. what is…

A: The rock is tossed down. Initial speed, u = 5.8 m/s Distance travelled by the rock, h = 32 m…

Q: A ball is tossed straight up with an initial velocity of 5.0 m/s. What is the speed of the ball at…

A: Launch velocity , V = 5 m/s  To find = velocity at maximum height

Q: The ceiling of an arena is 77 m above the floor. What is the minimum speed that a thrown ball would…

A: initial velocity = u Height os ceiling of arena above the floor (h) = 77 m

Q: Maria is riding the frictionless slide at the park. She starts sliding from rest from a height of…

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Q: To Merge into the highway you need to increase your speed from 50 km/h to 100 km/h. If your car can…

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Q: Cliff height. You are climbing in the high Sierra where you suddenly find yourself at the edge of a…

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Q: gh the road is lev

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Q: A bridge that was 10.4 m long has been washed out by the rain several days ago. How fast must a car…

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Q: A man in a hot air balloon throws a rock downward with an initial velocity of 10m/s from a height of…

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Q: A cat chases a mouse across a 1.0 m high table.  the mouse steps out of the way, and the cat slides…

A: The height of the table is, h=1 m The horizontal distance moved by a cat is, d=2.2 m The cat's…

Q: A roller-coaster goes over an 14 m tall hill then approaches a 25 m hill. What is the minimum…

A: Given data: Initial height (hi) = 14 m Final height (hf) = 25 m Required: The minimum velocity at…

Q: A bridge that was 11.2 m long has been washed out by the rain several days ago. How fast must a car…

A: The given data are: l=11.2 md=3.3 m Here, l is the length of the bridge and d is the distance.

Q: To Merge into the highway you need to increase your speed from 50 km/h to 100 km/h. If your car can…

A: Given:-  The initial velocity  v1 = 50 km /h = 13.89 m/s  The final velocity v2 = 100 km/h = 27.78…

Q: A 0.26-kg rock is thrown vertically upward from the top of a cliff that is 32 m high. When it hits…

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Q: In the inclined plane where friction is neglected, an object with a mass of 4 kg is thrown upwards…

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Q: An apple falls from a tree. It hits the ground at a speed of about 5.0m/s5.0m/s. What is the…

A: The relation between speed at which apple falls and distance of the tree can be given by Where, V=…

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 ball is thrown straight up with an initial velocity of 23 m/s from the ground level. What is the…

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Q: A roller-coaster goes over a 12 m tall hill then approaches a 30 m hill. What is the minimum…

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Q: At the lowest point of the waterfalls, water is moving at a speed of 40.0 meters per second. If the…

A: We need to find the velocity of the waterfall at the maximum height of the falls.

Q: An explosion causes debris from the ground to rise vertically with an initial velocity of 160 feet…

A: Given data: Initial velocity (v0) = 160 ft/s Height (h) = 300 ft Required: The speed at height 300…

Q: A child throws a stone downward from the top of a cliff with a speed of 4m/s. You notice that it…

A: It is given that,

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 ball is thrown straight up in the air with an initial speed of 10 m/s. Ignore air resistance and…

A: According to kinematics V2-u2=2as where V=final speed u=initial speed a=acceleration S=distance…

Q: A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with…

A: Given data The initial velocity is u=4.0 m/s The take-off point is ho=1.1 m The equation of upward…

Q: A bridge that was 11.2 m long has been washed out by the rain several days ago. How fast must a car…

A: Given data The length of the bridge is given as L = 11.2 m. The distance between the bridge and…

Q: A ball is thrown straight up in the air with an initial speed of 40 m/s. Ignore air resistance and…

A: Given data:  Initial velocity (Vi) = 40 m/s, upward  Acceleration due to gravity (g) = 10 m/s2,…

Q: You are an engineer and asked to design a slide in the park. The qualification for the said slide is…

A: Given : Initial velocity (U) = 7 m/s  Gravity (g) = 9.80 m/s2

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 –