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.
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A) Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s.
B) Calculate the instantaneous velocity of the car at t = 0.
C) Calculate the instantaneous velocity of the car at t = 5.00 s.
D) Calculate the instantaneous velocity of the car at t = 10.0 s.
E) How long after starting from rest is the car again at rest?
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- An Object has an accelration a(t)=(1,t) a) Determine the velocity of the object at time t if it is known that v(0) is parallel to the x axis and that the speed of the object at t=0 is equal to its speed at t=1. b)Determine the position of the object at time t if it is known that the object is at the origin when t=1.A swimmer pushes off a wall from rest where she has a constant acceleration of 2m/s2 for 1.5 seconds. She then continues for 10 seconds at constant velocity. At this point, a) How far away from the wall is she if the pool is 50m? b) If she then glides to a stop, what was her deceleration rate? c) Draw the position verse time graph, velocity verse time graph, and acceleration verse time graph. You can assume all accelerations are constant. d) Now take your velocity verse time graph and re calculate the distance covered by the swimmer.A rocket rises straight up from rest with an acceleration of 1.50 m/s2 at which point its engine fails. For the rest of its flight it experiences only gravitational acceleration.1) Make a diagram showing the rocket's initial conditions (height, time and velocity), the conditions of the rocket when its engine fails, the conditions of the rocket at the peak of its flight,and the conditions of the rocket when it has returned to the ground.2) At the moment when the engine fails (50 m from the ground), what is the rocket's height? What is its velocity?3) At the peak of its flight, what is its height? What is its velocity? How much time has elapsedsince its launch?4) When the rocket returns to the ground, how long has it been in flight? How fast is it going?Answer on separate paper. Be sure to show all equations used in symbolic and substitutedform before doing calculations
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