A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by æ (t) = bt2 – ct³, where b = 3.00 m/s and c = 0.110 m/s.

Q: The position of an object after t seconds is s(t) = 6t- 3t, measured in cm. Calculate the average…

A: s(t)=6t2-3tWe will choose 4 time intervals around time t=1i) t1=0, t2=2 :…

Q: Q2 /A car starts from rest and moves with an acceleration of 1 m/ s2 for 1 s. The motor is then…

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Q: An electric bike starts from rest and accelerates at a rate of 5.0 m/s2 in a straight line until it…

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Q: The car stops at the traffic light. It then moves along a straight path so that its distance from…

A: Given that:x(t)=bt2-ct3b=2.40 m/s2c=0.120 m/s2

Q: A bus accelerated from rest to velocity of 18 m/s in 12seconds, then maintains that velocity for…

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Q: Problem 6 A car is stopped at a traffic light. It then travels along a straight road such that its…

A: Solution:                The position of car in terms of time                   xt = bt2 -ct3a…

Q: Position (m) 50 40 30 20 10 1.0 2.0 3.0 4.0 5.0 6.0 Time (s)

A: From graph we can say the acceleration from 0 to 2s,2 to 3s,3 to 5s and 5 to 6s is zero(since the…

Q: A car stopped at a traffic light. It then travels along a straight road so that its distance from…

A: (a) The position of the car at t = 0 s and t = 10 s is: At t = 0; At t = 10;

Q: At the instant a traffic light turns green, a car that has been waiting at the intersection starts…

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Q: A block is released from rest at the top of a frictionless inclined plane 16 m long. It reaches the…

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Q: A car moving initially with speed v0 slows down with an acceleration of magnitude a 6) and comes…

A: Given information: The initial velocity of the car = v0 The acceleration of the car = a The distance…

Q: 1. Two heavy balls have the same diameter, but one is twice the weight of the other. They are…

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Q: Your position is given by the vector -r(t) = -t'i + 3t^2°j. %3D a) Find displacement ( in vector…

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Q: An airplane accelerates with a constant rate of 3.0 m/s2 starting at a velocity of 21 m/s. If the…

A: A) acceleration = a = 3 m/s2 initial velocity = V0= 21 m/s distance = S = 535 m

Q: toy rocket is launched from the top of a building 71 feet tall at an initial velocity of 223 feet…

A: Given: Height of the from which the rocket is launched,h=71 ft Initial speed of the rocket, u=223…

Q: A two-stage rocket accelerates from the rest at + 3.57 m /s/s 46.2 s . It then accelerates at + 2.98…

A: Given data: The acceleration of rocket in first stage is a1=+3.57 m/s/s=+3.57 m/s2. The time of…

Q: Under which of the following conditions is the magnitude of the average velocity of a particle…

A: Magnitude of average velocity less than average speed

Q: 1- A racing car starts from rest at t=0 and reaches a final speed v at time t. If the acceleration…

A: Given, Car starts from rest at t = 0  Final speed is v at time t.

Q: While entering a freeway, a car accelerates from rest at a rate of 2.40 m/s2 for 12.0 s. (a) Draw a…

A: Given  Initial velocity u = 0 Acceleration a = 2.4 m/s2  time taken t =12 sec

Q: Constant acceleration: A car is 200 m from a stop sign and traveling toward the sign at 40 m/s. At…

A: Answer Given Reaction time = 0.2 s  Now during this reaction time the car is going to travel an…

Q: Anna, driving at 40.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 205 m ahead…

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Q: 5. Below is the a-t-graph of a motorbike starting from rest during the first 0...10 seconds. What is…

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Q: The position of a body as a function of time is given by: a(t) = At³ - Bt, where A=4, B-8 and v(0)…

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Q: Hız (v) t4 ts Zaman (t) t2 t3 Since the graph above is the speed-time graph showing the movement of…

A: In the given graph, speed is plotted along the y-axis, and time is plotted along the x-axis. In the…

Q: A firecracker is fired from rest and its gunpowder delivers a constant upward acceleration of 8 m/s?…

A: Given information: The acceleration upward provided by the gun powder (a) = 8 m/s2  The time for…

Q: You are 9.0 m from the door of your bus, behind the bus, when it pulls away with an acceleration of…

A: distance between you and bus door = 9 macceleration = 1.0 m/s2.speed = 4.9 m/s.

Q: A toy rocket is launched from the top of a building 135 feet tall at an initial velocity of 190 feet…

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

Q: A truck traveling at 30.0 m/s applies the brakes and decelerates uniformly at a rate of 1.5 m/s, a)…

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Q: A train is traveling south at 65.8 m/s when the brakes are applied. It slows down with constant…

A: (a) acceleration of the train a=v-ut=-6.00 m/s--65.8 m/s9.00 s=6.64 m/s2

Q: Hicham El Guerrouj of Morocco holds the world record in the 1500 m running race. He ran the final…

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Q: Q3-A) The velocity versus time graph of a car is displayed in the right figure. For this figure,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: v (m/s) V 2 t (s) 1 3 4 6. 7 -1 -2

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Q: a. What is the average speed between 5th to 6th mark? CHOICES:  - 4.9 cm/dot - 5.1 cm/dot - 6.2…

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Q: Treat the motion of a particle which moves along the s-axis as shown. + 8, ft or m -1 2 3 The…

A: Given data :            s=4t³-20t²+80t-30 ; 0<t<=15To find :            displacement vs time…

Q: what must be the magnitude of the constant decceleration of the truck after

A: Given that the reaction time is 0.2 s. during this reaction time the truck is going to travel an…

Q: A swimmer pushes off a wall from rest where she has a constant acceleration of 2m/s2 for 1.5…

A: Given: The swimmer moves with a constant acceleration of 2 m/s2 for 1.5 s and then with constant…

Q: driving at 40.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 205 m ahead…

A: If collision occur time taken by both must be same and anna car travel 205 m more than van before…

Q: 1. Refer to the velocity-time graph of a jogger. The positive direction is away from the jogger's…

A: Distance travelled during the timer interval is given by the area under the speed vs time curve…

Q: 2. Treat the motion of a particle which moves along the s-axis as shown. s, ft or m -1 1. 2. The…

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Q: The position of a particle moving along the axis given in centimeters by x=9.75+1.75t3,where t is in…

A: Given: x=9.75+1.75t3     where    x in cm and t in sec    Velocity V=dXdt=ddt9.75+1.75t3…

Q: A rocket rises straight up from rest with an acceleration of 1.50 m/s2 at which point its engine…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 2.) A buggy car starts at 10 m and travels in the +x direction with a constant velocity of 1.5 m/s…

A: Given:          The buggy car starts at 10 m travels in +x direction         Velocity of the car is…

Q: An object moves so that its position depends on time as x=−10m+(5m/s)t+(2.5m/s2)t2. Which statement…

A: Given Data: The dependence of position on time is given by, x=−10 m+(5 m/s)t+(2.5 m/s2)t2.  The…