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

A:

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: Problem 1: An object is thrown straight up with an initial velocity of 17 m/s. Part (a) How high…

A: The given data are as follows:  The object is thrown straight up. The initial velocity, u = 17 m/s

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: 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: To deter speeding through a residential area, the Police set up a speed trap on Illusion Drive.…

A: Given Speed limit is v= 30 mph=13.41 m/s Distance is d=50 m

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

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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: 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: 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: A car moves along a straight road according to the equation a = 18t, where a is in m/s² and t is in…

A: We know dv/dt = a = 18t  dv = 18t dt Integrating b/w the limits 0 to 4 V = 0∫4 18t dt  v = 18…

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: John walks 1.80 km north, then turns right and walks 1.20 km east. His speed is 1.40 m/s during the…

A: Answer..

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…

A:

Q: A car traveling with an initial velocity of 23.67 m/s to the east, sees a wall 78.64 meters to its…

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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: DEȚAILS A walker covers a distance of 2.2 km in a time of 32 minutes. What is the average speed of…

A: The expression for average speed  vav is given by,

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

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Q: Question 7. A car drives horizontally off the edge of a cliff that is 68.3 m high. T the scene of…

A:

Q: turns

A: When the speed of a body is calculated at a particular instant of time it is called instantaneous…

Q: The acceleration of a crate sliding down a ramp is given by ax = (0.25t²) m/s² and ay = (1.5t³)…

A: In this problem, we will first calculate the velocity in x and y directions and then we will…

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 –