You are driving at a speed of 30 m/s when a dog runs in front of you. You slam on the brakes at a constant rate of 10m/s^2. How long does it take to stop? What is the displacement? What would the displacement be if you hadn't slammed on the brakes?

Q: Question 1: What would be the relative velocity of a man swimming against a flowing river if the…

A: According to question --- given that --  Question 1 - velocity of man in still water = 5 m/s .…

Q: A train travels with a constant speed of 20.0m/s for 7.00s. Determine all unknowns and answer the…

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Q: You are on the roof of a Physics Building, 21 m above the ground. Your physics professor, who is…

A: The vertical displacement of the ball is, y=ut+12at2y=12at2       ...... (1)   The vertical distance…

Q: You are on the roof of a Physics Building, 23 m above the ground. Your physics professor, who is…

A: Given quantities: Height of the building (H) = 23 m height of the professor (h) = 1.88 m speed of…

Q: A balloon is ascending at the rate of 14m/s14m/s at a height of 98m98m above the ground where a…

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Q: You are on the roof of a Physics Building, 50 m above the ground. Your physics professor, who is…

A: Time required for the egg to reach the vertical height same as the height of the professor…

Q: A greyhound accelerates at 2 m/s^2 for 7s. How far does it travel and what is its velocity?

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Q: If you drive from Santa Cruz to San Jose, and back to the same place you started in 1.5 hours. What…

A: Average Velocity of an object is its total displacement divided by total time taken.  Displacement -…

Q: A rock is tossed straight up with a speed of 26m/s. When it returns, it falls into a hole 13 m Cep.

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Q: You throw a ball upward with an initial speed of 20 m/s. How much time passes before it reverses…

A: We know that, v=u+at here, velocity at maximum height, v=0 u=20 m/s a=-g=-10 m/s^2

Q: A 12 m long diesel engine is driven alongside a 400m long freight train with the same velocity of 6…

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Q: You are on the roof of a Physics Building, 28 m above the ground. Your physics professor, who is…

A: Introduction: The body which released from certain height and move towards the earth with…

Q: A particular airplane with the acceleration of 1.98 m/s^2 will reach liftoff at a speed of 120 km/h.…

A: Time taken to reach lift-off speed is,

Q: A child appears to be running into the street ahead. It takes 2.3 seconds for the driver to react…

A: Let u denotes the initial speed of the car, t denotes the time taken to stop the car, and a denotes…

Q: A car is traveling at 90 km/h when the driver sees an accident 75 m ahead and slams on the brakes.…

A: Given data: Initially velocity Vi = 90 km/h = 25 m/s Distance traveled (x) = 75 m Final velocity Vf…

Q: A particle, acceleration is given by where a = acceleration in m/s² and s = starting from rest,…

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Q: You are on the roof of a Physics Building, 17 m above the ground. Your physics professor, who is…

A: Answer:-  Given  Time taken by egg to free fall = t  Distance required to fall(S) =(17 m) - (1.95 m)…

Q: You are driving down a street at 55 km/h. Suddenly, a child runs into the street. If it takes you…

A: Given Speed of vehicle  v= 55 km/h  = 55 × 5 / 18 m/s v = 15.3 m/s Time taken to react  t = 0.75 s…

Q: At the instant the traffic light turns green, a car that has been waiting at an intersection starts…

A: Given:- Acceleration of the car is 6 feet /sec2  At the same time, a truck traveling with a constant…

Q: A person walks up a stalled 20 m long escalator in 80 s. When standing on the same escalator, now…

A: When the escalator is stalled, calculate the speed (v1).

Q: You are on the roof of a Physics Building, 19 m above the ground. Your physics professor, who is…

A: height of the building = H = 19m height of the professor = h = 1.87m speed of professor = V =…

Q: If it takes 50 m to stop a car initially moving at 25 m/s, what distance is required to stop a car…

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Q: A dolphin in an aquatic show jumps straight up out of the water at a velocity of 12.5 m/s. How high…

A: (given)   Initial velocity of dolphin (vi) = 12.5 m/s    Final velocity of dolphin (vf) = 0 m/s  (…

Q: How much time does it take to increase its speed from 100m/s to 160m/s?

A: The equation of kinematics which will be used is given as follows: v=u+at Here v is the final…

Q: car traveling with the initial speed of 30 m/s and traveling a distance 450 m with the final…

A: A car initial speed u = 30 m/s  The final speed of the car is v = 80 m/s  The distance travel by the…

Q: . Two people pass the 2,000 meter mark on a walking trail at the same time, going in the same…

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Q: A runner is moving at 6m/s when they begin to decelerate at 2m/s2 . How far will they travel until…

A: Given:Runner is running at the speed (v) = 6 m/sDeceleration rate (a) = 2 m/s2

Q: You are driving down the highway late one night at 20 m/s when a deer steps onto the road 35m in…

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Q: Two cars, facing opposite directions, are 10 m apart on a linear track. Starting at the same time,…

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Q: A stone is thrown vertically upward with a speed of 24.0 m/s.   How fast is it moving when it is at…

A: (a) According to the kinematics equation, find the speed of the stone. v2=u2-2gyv=u2-2gy=24.0…

Q: A car is moving at a constant acceleration of 3.2 m/s away from a tree. At t = 0, the car is 14 m…

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Q: A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a…

A: The distance covered by the player is

Q: On takeoff, a rocket accelerates from rest at a rate of 50.0 m/s2 for exactly 1 minute. The rocket's…

A: The expression for the speed from kinematics is,

Q: At a certain instant, two cars, A and B, are 600m apart. At this instant, A has a speed of 24km/hr…

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Q: An object is thrown vertically downward, from a height of 100 m, with an initial velocity of 20 m/s.…

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Q: A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a…

A: given : speed of second player, v = 14.3 m/s             initial speed of first player, u = 0…

Q: If a ball is thrown directly upward with a velocity of 38 ft/s, its height (in feet) after t seconds…

A: Given: Initial velocity of ball (v) = 38 ft/s. The height is given as y=38t-16t2

Q: Playing jackstone as a kid, you discovered that there is a certain time before the rubber ball falls…

A: For speed at height B cm By , V^2=U^2+2as        V^2 = A^2 + 2(-10)B ×10^-2        V = √(A^2 - 0.2B)…

Q: What is the height of a projectile in 6 seconds if its initial height is 820 feet, and it has a…

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Q: You are on the roof of a Physics Building, 34 m above the ground. Your physics professor, who is…

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Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

A: Speed of Car A due north is Va = 30 mph Speed of car B due east is Vb = 40 mph

Q: A dolphin in an aquatic show jumps straight up out of the water at a velocity of 15 m/s.   A: How…

A: Given data:  Initial velocity (Vi) = 15 m/s, upward Air resistance is negligible  Required:  Time…

Q: Let sA = 15t2 + 10t + 20 and sB = 5t2 + 40t, t ≥ 0, be the position functions of cars A and B,…

A: The given position functions are sA = 15t2 + 10t + 20 and sB = 5t2 + 40t,…

Q: A person walks up a stalled 17-m-long escalator in 87 s. When standing on the same escalator, now…

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Q: On a 200 km bike cycle ride, you ride the first 90 km at an average speed of 20 m/s. What must your…

A: Total distance (d) = 200km = 200000m First 90km avg speed is 20m/s For the entire 200km avg speed is…

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 –