Suppose a car merges into freeway traffic on a 200 -m-long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, how long does it take to travel the 200 m up the ramp? (Such information might be useful to a traffic engineer.) v0=__m/s

Q: The acceleration of an object (in m/s?) is given by the function a(t) = 4 sin(t). The initial…

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Q: a jet plane travels from calgary to winnipeg,a distance of 1358 km,in 2 h and 45 min.determine the…

A: 1358km= 1358000 m 2 hr 45 min = (120+45) min = 165 min = 165×60 sec =9900 sec We know S=v*t or, v=…

Q: A car travels 64.70 +/- 0.50 meters in 8.650+/-0.05 seconds. What is its speed in m/s? Answer must…

A: Given data: The distance traveled by car is D=64.70 +/-0.5 m. The time taken is t=8.650+/-0.05 s.

Q: You throw an object up with an initial velocity of voy = 5 m/s from a height of y = 25 m. Part (a)…

A: Given : Initial velocity (v0y) = 5 m/s Height (yi) = 25 m

Q: A car drives horizontally off the edge of a cliff that is 60.5 m high. The police at the scene of…

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Q: A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a…

A: Given that displacement of Honda Civic is given by: x(t) = at^2 - bt^3 Where a = 1.50 m/s^2 and b =…

Q: Goggles Paisano (aka Fred Flintstone) has once again entered the Indianrockolis 500. The race…

A: Given data: The number of laps is n=200. The length of each lap is s=2.5 mile. Time taken is t=2hr…

Q: A hiker walks 2.95 km north and then 4.10 km west, all in one hour and twenty minutes. (a)…

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Q: The acceleration of a vehicle can be represented by the following equation : ( dVldt = 2 - 0.05 V ),…

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Q: In m/s?, what is the acceleration when t = 7.5 sec? Express your answer as an integer, not as a…

A: The acceleration at a time in velocity-time graph represents the at that time.

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: If a cheetah sees a rabbit 114.0 m away, how much time ftotal will it take to reach the rabbit,…

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Q: A squirrel runs along an overhead telephone wire that stretches from the top of one pole to the…

A: NOTE- As per our guidelines we are supposed to answer  only one question. Kindly repost other…

Q: Problem 2: A car is traveling at a speed of 33 m/s. art (a) What is its speed in kilometers per…

A: Given:  Speed  of car            S=33 m/s   we  have  to find  S  in  Km/h

Q: A car travels along a 1000 m path, starting from rest. For the first 300 m, it accelerates at 2.00…

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Q: Two straight roads intersect at right angles. At 10 am a car passes through the intersection headed…

A: If an object is moving with constant speed or velocity, the acceleration becomes zero. Acceleration…

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: In reaching her destination, a backpacker walks with an average velocity of 1.18 m/s, due west. This…

A: Suppose x is the distance the backpacker moved with velocity 0.717m/s, then the total displacement…

Q: The speed of an object as a function of time is given by the following equation: v² = (6) e What is…

A: We know, acceleration (a) is rate of change of velocity oe speed (v) a=dvdt

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: The distance traveled in the original direction is given by: distance = speed x time = 640 mi/h x…

Q: When the legal speed limit for the New York Thruway was increased from 55 mi/h to 65 mi/h, how much…

A: GivenDistance travelled by motorist (D)= 450 kmwe know 1km=0.621371 milesD=450×0.621371…

Q: The cheetah is considered the fastest running animal in the world. Cheetahs can accelerate to a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: Starting from rest, a bus leaves a gas station with a constant acceleration of 2 m/s˄2 until it…

A: We will split the problem into three parts and then solve for the traveled distance.

Q: A woman drives a car from one city to another with different constant speeds along the trip. She…

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Q: John goes for a run. From his house, he jogs north for exactly 5.0 min at an average speed of 8.0…

A: When John goes for a run, North exactly 5 min at an average speed of 8km/hr. so, the distance John…

Q: Using the equation ??2 =???2 +2??(?−??) where a car is moving at an initial speed of 22 m/s slams on…

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Q: Round the answers to the nearest whole part. (a) Using the graph, estimate the acceleration at 60…

A: From the velocity-time graph, acceleration is calculated by taking the slope of that graph.And, the…

Q: A runner competes in a 1500 meter straight-line race. The runner completes the first 650 meters in…

A: The equation for the magnitude of velocity is given by velocity=Distance travelledtime taken  (1)…

Q: A small mailbag is released from a helicopter that is descending steadily at 2.94 m/s. (a) After…

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Q: A cyclist rides 8.0 km east for 35 minutes, then he turns and heads west for 10 minutes and 3.7 km.…

A: Given data, Initial displacement along east = 8 km, in 35 minutes Displacement along west = 3.7 km,…

Q: On May 26, 1934 a stainless steel diesel train called the zephyr set the world's nonstop distance…

A: Given :               Distance travelled = 1633.8 km                Time = 13 hours 4 minutes 58…

Q: Goggles Paisano (aka Fred Flintstone) has once again entered the Indianrockolis 500. The race…

A:

Q: A UFO going 34 m/s west suddenly experienced a constant acceleration of 17 m/s² east and was going…

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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 –