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- s(t) = et² - 1. Find the position, velocity, and acceleration of the particle at the positions 1 and 2. 1 2 t=2 sec t=4 sec Figure 1The typical power output of a compact car engine is 110 hp. What is the equivalent power in (a) lbft/s; and (b) kW?Question 3: The relation of the magnitude of the acceleration and the speed of a particle is given by a = -av² where a, a, and v are the magnitude of the acceleration, a positive number, and the speed, respectively. The particle starts the motion at the origin, x(t = 0) = 0, with initial speed vo. What is constant a (in the appropriate %3D unit) if the speed of the particle becomes vo/2 at x = 2 meters. Select one: In2 4 2ln2 O 4ln2 O In2 In2 2
- the unite of acceleration is * sec m/sec m/sec2A racecar drives on a racetrack shown in the figure 2. Due to traction limitations between the tire and the track surface, maximum total acceleration of the racecar is 4 m/s?. Assume that engine and brakes of the car can give required traction and braking forces at any given time and the driver laps the track as fast as possible. Starting stationary from the beginning of the straight, what is the lap time? 200 m 1000 m1. Figure 1 below is a diagram showing two cars, A & B, travelling along a straight road, and also a stationary observer at the side of the road (in bottom left-hand corner). Assume that moving from the left to the right along the road is in the positive direction and that moving from right to left the negative direction. Figure 1. Cars travelling along a road In each of the following scenarios, the velocities of each car are provided. Determine the velocities of Car A, Car B and the Observer from the perspective of (a) the Observer, (b) Car A and (c) Car B: SCENARIO 1 2 3 4 5 6 7 OBJECT Observer Car A Car B Observer Car A Car B Observer Car A Car B Observer Car A Car B Observer Car A Car B Observer Car A Car B Observer Car A Car B VELOCITY (km/hr) 0 30 50 0 60 50 0 45 45 4 30 50 0 -30 50 0 30 -50 -2 30 50
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- A Flying toy for children starts from rest at the ground. Accelerate at 4 ft/sec and then decelerate at 1.5 ft/sec?. Evalute the shortest time it takes to reach a hight 40 ft above the ground. The toy starts from rest and then stops. اجابتكA block has a velocity described as v = 0.2cos20t, determine the acceleration equation?The speed of the wind is km/h *