Sarah is standing when she sees a boy running towards her with constant velocity 6.0 m/s. When they are 200 m apart, Sarah starts running to meet him. She runs with a constant acceleration, and by the time they meet, Sarah is running at 7.0 m/s. How long, from the time Sarah begins moving, does it take for them to meet?

Q: Chameleons catch insects with their tongues, which they can rapidly extend to great lengths. In a…

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Q: You are driving through town at 10.0 m/sm/s when suddenly a ball rolls out in front of you. You…

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Q: cheetah spots a gazelle 60.0 m away.  The cheetah accelerates at 7.5 m/s2 toward the gazelle.  The…

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Q: An object is moving in the air (defying gravity) so that its height after t seconds is given by…

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Q: Car A is moving with a constant velocity 6.02 m/s while Car B starts from rest and accelerates with…

A: Velocity of car A, uA = 6.02 m/s Velocity of car B, uB = 0 m/s Acceleration of car A, aA = 0 m/s²…

Q: Speedy Sue, driving at 35.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 160 m…

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Q: I need help on this problem: You go south of your friend's house 150 miles away at 50.0 MPH. Your…

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Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: A car is traveling at 40 mph on a straight road. The driver applies the brakes for 3 sec, producing…

A: initial velocity u= 40mph =17.88m/s duration of brake applied t = 3sec deceleration a = -5.5ft/sec2=…

Q: The figure shows a graph of the velocity of an object as a function of time. What is the…

A: Acceleration = 20/2 = 10  ms-2  Equation  x = ut + (1/2)at2 x = 0×t + (1/2)at2 x = (1/2)at2  x =…

Q: You throw a ball straight up with an initial velocity of 15.4 m/s. It passes a tree branch on the…

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Q: Two kids are racing towards a toy somewhere between them. Albert is to the West of the toy and Betty…

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Q: A cat is sleeping on the floor in the middle of a 3.0 m wide room when a barking dog enters with a…

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Q: A car speeds down the main road at 160 km/h. It passes a police car parked on the side of the road.…

A: Please see the attached images for the solution.If there are queries or if the images are not…

Q: Light-rail passenger trains that provide transportation within and between cities speed up and slow…

A: Initial speed of the train = u = 6.0 m/sSpeed after 8 sec = v = 11 m/s To calculate The final speed…

Q: An object is thrown straight up with an initial velocity of 16 m/s. a) How high does it go in…

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Q: An express train passes through a station that is 212 m long. It enters with an initial speed of…

A: length of station (L) = 212 m Initial speed of train (u) = 22.5 msacceleration (a) = -0.13 ms2

Q: Can you help me solve this problem please? A hot air ballon is rising into the air with a constant…

A: Here Initial velocity of the air ballon  = u 4.75 m/sHeight from the ground when a bag is dropped =…

Q: a) acceleration of the particle at t = 20s c) position of the particle at t = 5s, 10s and 20s d)…

A: Given,                The velocity of the particle as a function of time is given by…

Q: While driving south on hwy 400, Jim gets stuck travelling at 1.9 m/s behind a slow truck. He finally…

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Q: A sprinter is running at a speed of 10.0 m/s, then accelerates at a constant rat e of 2.86 m/s2 for…

A: Given Data: The speed of the sprinter is: u=10.0 m/s The acceleration of the sprinter is: a=2.86…

Q: What is his average velocity? 8. A tennis player moves in a straight-line path as shown in Figure…

A: Given that, The path of a tennis player is a straight line, and the distance varies with time is…

Q: How long did the ball take to return to the juggler’s hand?

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Q: In a game of tag two children start from rest 4.0 m apart.  The first child accelerates at 0.8 m/s2…

A: Given data:  Distance between two children (s) = 4.0 m Initial velocity of both childs are zero…

Q: We are standing on the top of a 1040 feet tall building and launch a small object upward. The…

A: Given data The height of the building is H = 1040 ft. The expression for the height of the object…

Q: Rosy and Joanna begin side-by-side at one end of the nursery. At the same moment, they begin to walk…

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Q: At a stop light, a truck traveling at 15 m/s passes a car as it starts from rest. The truck travels…

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Q: A car is traveling at a speed of 30 m/s, a typical highway speed, on wet pavement. The driver sees…

A: Initially, speed of the car was, u = 30 m/s. The driver took t1 = 0.75 s to apply the brake Distance…

Q: He spots a juicy one in the grass and takes off from our porch at 5.22 m/s. When he reaches the…

A: The speed of Boomer v =5.22 m/s The distance moved by Boomer d=8.16 m The time taken by Boomer is…

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

A: Write the given values with suitable variables. u=4 m/sh=-1.1 m Here, u denotes the initial velocity…

Q: Light-rail passenger trains that provide transportation within and between cities speed up and slow…

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Q: Bob is cruising leisurely on his bike at 2.4 m/s when Jim passes him, traveling at a constant 10.2…

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Q: You throw a ball straight up with an initial velocity of 15.9 m/s. On the way up it passes a tree…

A: Given: The initial velocity of ball is u=15.9 m/s During upward motion, ball passes a tree branch at…

Q: Bob is cruising leisurely on his bike at 2 m/s when Jim passe immediately begins accelerating at 2.2…

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Q: Vx v (m/s) 4 2 0 0 2 4 t (s)

A: Given thatInitial velocity at t= 0s is 4m/sFinal velocity at t = 2s is 2m/sFinal velocity at t=4s is…

Q: A blue car travels down a straight road at a constant speed of 21.7 m/s. As they pass a red car,…

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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 –