A car moving in a straight line accelerates from rest at a rate of 6.00 m/s², for 5.00 s. It then accelerates at a constant rate of -3.50 m/s², until it stops. The displacement during this time is m.
Q: An object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3…
A: Given data: Initial velocity, u=15 m/s Final velocity, v=2×15 =30 m/s Acceleration, a=3 ms2
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A: A ball is thrown directly downward with an initial speed of 8.45 m/s, from a height of 29.1 m. After…
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A: To solve the given question we will find the acceleration first and then using that acceleration we…
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A: Given that- Runner start from rest (u) =0m/sec Constant acceleration (a) =2.51 m/sec^2 Time(t)=3.48…
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A: Distance travelled by the police car is, s=ut+12at2
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A: From the question it is given that: Constant velocity of yellow object: vyellow=29 m/s Initial…
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A: Given,
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A: We know, Acceleration is double derivative of positive.
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A: The given values are,
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A: Given that,a=(2t-6) ms2find velocity t= 6 sfind position at t=11 s
Q: A runner starts from rest and runs with a constant acceleration of 2.54m/s2. How far has she un…
A: Given Data: The acceleration of the runner is: a=2.54 m/s2 The given time duration is: t=3.45 s
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Q: A particle moves along a straight line such that its position is defined by s = (t - 6t +5) m.…
A: solution: To be given in question position (s)= t²-6t+5…
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A: given initial velocity = u = 0 m/s for first 10 m . s=10 time take t = 5.4 s using equation of…
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Q: A body passes through a point with a constant speed of 20m / s. Two seconds later it departs from…
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Q: a researcher observes a vehicle with an initial velocity of 14m/s the vehicle accelerates uniformly…
A: initial velocity = 14 m/sacceleration = 3 m/s2time = 6 sec
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A: Distance travelled by the trooper is same as that of the car at the instant when the trooper…
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A: Given that Initial speed of car is u=20 ms Travelled distance by car is x=56.0 m Time taken to…
Q: car travels a total distance of E e first half of this distance, the st and accelerates at a constar…
A: Given total distance = 300 m
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A: Given Length of the ramp/the distance the car has to travel s=200m Initial velocity of the car u=10…
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Q: One ball is dropped at rest from a height of h = 75 m. At the same time, another from the ground…
A: Refer attachment
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A: Given data: Initial velocity (Vi) = 0 m/s Acceleration (a) = 2 m/s2 Displacement (d) = 50 m…
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A:
Q: A car traveling at a constant speed of 45.0 m/s passes a trooper on a motorcycle hidden behind a…
A: For the car, xcar=x0car+vcart For the trooper, xtrooper=x0trooper+vtroopert+12at2
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A: initial velocity = V0= 4 m/s acceleration = a = 4 m/s2 time = t = 10 sec
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A: Initial velocity = Vi = 0 m/s Final velocity = Vf = 62 m/s Acceleration = a = 31 m/s2 Initial…
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A: Given data Constant acceleration, a = 4.05 m/s2 Initial velocity, u = 2.23 m/s Distance travelled,…
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A:
Q: At the instant the traffic light turns green, a car that has been waiting at an intersection starts…
A: GivenAcceleration (a) = 3.05 m/s2Speed (v) = 25.0 m/s
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A: Given:length of the drag race (s) = 420 mInitial velocity of the car (u) = 0 m/sfinal velocity of…
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A: We know that the formula of the second equation of motion is as s= ut +12at2 where "s" is the…
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Q: particle is given by The velocity of a the relation [V = 2+0:2x]. knowing that (Xo =0). Determine :…
A: The equation for velocity is given. We need to find the equation for acceleration as well as…
Q: A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car. If the…
A: The expression for find time is t+1=dvt=dv-1 Substitute values in the above equation t=300 m30…
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- A turtle crawls along a straight line, which we’llcall the x-axis with the positive direction to the right. The equationfor the turtle’s position as a function of time is x 1t2 = 50.0 cm +(2.00 cm/s)t - (0.0625 cm/s2)t2. How long after starting does it take the turtle to return to its starting point?A turtle crawls along a straight line, which we’llcall the x-axis with the positive direction to the right. The equationfor the turtle’s position as a function of time is x 1t2 = 50.0 cm +(2.00 cm/s)t - (0.0625 cm/s2)t2. At what times t is the turtle a distance of10.0 cm from its starting point? What is the velocity (magnitude and direction)of the turtle at each of those times?Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 45 with respect to the 50-yard line and covers 8.0 m in 1 s. He then fins straight down the field at 90 with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?
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- A Boeing 747 "Jumbo Jet" has a length of 59.7 m. The runway on which the plane lands intersects another runway. The width of the intersection is 21.3 m. The plan decelerates throught the intersection at a rate of 5.79 m/s2 and clears it with a final speed of 39.0 m/s. How much time is needed for the plane to clear the intersection?The height of a helicopter above the ground is given by h = 3.50t3, where his in meters and t is in seconds. At t = 1.85 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground? sUAM Exercises: x-direction Rosie is moving with a uniform acceleration and has a velocity of 12.0 cm/s in the positive x-direction when her x-coordinate is 3.00 cm. If her x-coordinate 2.00 s later is - what is her acceleration? 5.00 cm, 2. Pixel is wandering around the house when she gets a case of what can only be described as the rips. She runs through the house and then finally begins to slow down for 6.0s to 1.5 m/s. a) If Pixel's displacement during this time is 19.5 m, what was her initial velocity when she started slowing down? b) What is her acceleration during the slow down? (3.) A motorcyclist starts from rest and travels for 10.0 s with a uniform acceleration of +1.25 m/s². The motorcyclist then applies the brakes, causing a uniform acceleration of -0.75 m/s². If the brakes are applied for 4.0 s, a) How fast is the motorcycle going at the end of the braking period, and b) how far has the motorcycle traveled?
- The position of a particle is r (t) = (3.0t i+5.0j-6.0tk) m. r2(t)=(3.0t2/+5.0jh-6.0tkJm. (a) Determine its velocity and acceleration as functions of time. (b) What are its velocity and acce le ration at time t = 0?8. GO An 18-year-old runner can complete a 10.0-km course with an average speed of 4.39 m/s. A 50-year-old runner can cover the same dis- tance with an average speed of 4.27 m/s. How much later (in seconds) should the younger runner start in order to finish the course at the same time as the older runner?Asap