A car accelerates uniformly from 0 to 82 km/h in 1-1/2 minutes. What is the acceleration of the car in m/s^2 (express your answer in 2 decimal places without comma and units) *
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- suppose Joel was able to travel 6.6 km west in 1.2 hours ion his car. What is his average velocity in meters per minute?At the instant shown the boomerang has an angular velocity ω = 4 rad/s , and its mass center G has a velocity vG = 6 in./s Determine the x and y components of the velocity of point B at this instant. Express your answers using three significant figures separated by a comma.A particle moves along a straight line in such a manner that its displacement, at any instant, from a fixed point on its path is given by the equation:S = 1/10 (t3 + 6t2 – 4t)What displacement, velocity and acceleration will the particle attain after 10 sec.
- A particle moves along the circumference of a circle of radius 10 ft in such manner that its distance measured along the circumference from a fixed point at the end of t seconds is given by the equation s= t2. Find the angular velocity (rad/s) at the end of 3 seconds. A. 0.40 C. 0.60B. 0.50 D. 0.70A boat has an initial speed of 12 ft/s . It then increases its speed along a circular path of radius ρ = 80 ft at the rate of v˙=(1.7s)ft/s2, where s is in feet. Determine the time needed for the boat to travel s = 80 ft .Express your answer to three significant figures and include the appropriate units. THE ANSWER IS NOT (1 second)an airplane flying at an altitude of 5 kilometers passes directly over a radar antenna. When the airplane is 10 kilometers away (s=10), the radar detects that the distance s is changing at a rate of 440 kilometers per hour. What is the speed of the airplane? (round your answer to two decimal places). Show your full solution
- The displacement of a particle that moves along the x-axis is given by x = (-4 + 3t^2)e^-0.25t, consider x to be in feet and t in seconds. Plot the displacement, velocity, and acceleration for the first 20 seconds of motion and determine, both graphically and by your established equation for acceleration, the time at which acceleration is 0. (If the students find it more comfortable, they may choose to graph using excel or any graphing software, solutions, however, must be done manually). Show COMPLETE STEP BY STEP SOLUTION and necessary FIGURES.A boat has an initial speed of 12 ft/s . It then increases its speed along a circular path of radius ρ = 80 ft at the rate of v˙=(1.7s)ft/s2, where s is in feet. Determine the time needed for the boat to travel s = 80 ft .Express your answer to three significant figures and include the appropriate units.An object is moving so that its speed after "t" minutes is (3 + 2t + 6t^2) m/min. It travels 10 m in the first minute. How far does it travel in the first 2 minutes?
- A plane motion of a particle is described in polar coordinates as R = 0.75 + 0.5t2 (m) and θ=πt2/2 (rad), where t is measured in seconds. Find the magnitudes of the acceleration when t =2.83s.Show complete solutions. Please draw a diagram. A motorbike has a constant speed of 5.00 m/s along a straight line from point A to point B and then back along the line from B to A at a constant speed of 3.00 m/s. A) What is the average speed over the entire trip? B) What is the average velocity over the entire trip?A brand new Mercedes Benz is travelling at a highway with a speed of 40 mph and accelerates to double its speed in just 10 seconds. How far (in meters) did the car travel during the time it accelerated? (Note. 1 mile = 1069 meters)explanation not needed