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…
Q: A speeding motorcycle is traveling at a constant 30.0 m/s when it passes a stationary police car. If…
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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Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t – 6) m/s²,…
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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Q: A sprinter (starting from rest) in a 150-m race accelerates uniformly for the first **n and then…
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…
A:
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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Q: At time t=0.00s a car is Traveling along a straight line at a speed of 20m/s with constant…
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: Distance travelled is the length of the path travelled. Velocity is the rate of change of position…
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Q: Suppose a car merges into freeway traffic on a 200-m-long ramp. If its initial velocity is 10.0 m/s…
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
Q: If the initial velocity of the object is zero, its acceleration is 2m/s and its initial position is…
A: Given data: Initial velocity (Vi) = 0 m/s Acceleration (a) = 2 m/s2 Displacement (d) = 50 m…
Q: The acceleration of a particle moving along a straight line is a = Vs, where s is in meters. If its…
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
Q: If its initial velocity is 4 m/s and a particle is moving in a straight line with an acceleration a…
A: initial velocity = V0= 4 m/s acceleration = a = 4 m/s2 time = t = 10 sec
Q: A jet is taking off from the deck of an aircraft carrier, starti g from rest, the jet catapulted…
A: Initial velocity = Vi = 0 m/s Final velocity = Vf = 62 m/s Acceleration = a = 31 m/s2 Initial…
Q: At the instant the traffic light turns green, a car that has been waiting at an intersection starts…
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Q: A particle moves in a straight line withe a constant acceleration of 4.05 m/s2 in the positive…
A: Given data Constant acceleration, a = 4.05 m/s2 Initial velocity, u = 2.23 m/s Distance travelled,…
Q: Starting at timet t = 0 an object starts moving along a straight line. Its coordinate in meters is…
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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Q: A car racing in a 420m drag race starts from rest and accelerates uniformly to 34.0m/s in the first…
A: Given:length of the drag race (s) = 420 mInitial velocity of the car (u) = 0 m/sfinal velocity of…
Q: t with the acceleration of 3.5 m/s^2 .then find the distance and velocity a
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: When a train is traveling along a straight track at 2 m/s, it begins to accelerate at a = [6]p] m/s,…
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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. At what time t is the velocity of the turtle zero?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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- 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? s8. 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?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?
- UAM 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?You can accelerate and brake on your bicycle with a maximum magnitudeof the acceleration of 3 (m/s)/s. Your top speed is 12 m/s. You want to drop ofyour physics textbook at your friend who normally works with an electronictextbook version, but just called and asked you for your printed copy for theafternoon. She lives 168m up the road from you. You need 11 seconds to runout of your apartment and grab your bike, and you need another 11s to run toyour friend’s apartment door to hand her the book after stopping with your bike.How long to you need in total to bring her the book?