2. The motion of a particle is defined by the relation x= t – 12t² – 40,where x is expressed in metres and t in seconds. Determine the position, velocity, and acceleration when t=2 s. (B/J 11.1)
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- Tom Cogwagee Longboat, of the Six Nations of the Grand River, is one of Ontario's best known distance runners. In 1907, he set a new Boston Marathon record, beating all of the previous decade's champions by almost 5 minutes! If he ran the 39.2 km course in 2 hours, 24 minutes and 24 seconds, what was his speed? HINT: we'll need our units to be metres per second - what do you need to convert in the question? 0.221 m/s O 0.272 m/s O 4.52 m/s O 17.5 m/sThe distance travelled of a car is given by the values in the following table.Fill in the blanks to answer this question Time t (seconds) 1 4 Distance s (feet) 16 35 71 112 179 Find the car's average velocity for the following time intervals: Time interval [1,3] feet/ second Time interval [2,3] feet/second2 2. A ball is thrown upward from the top of a 6 feet tall platform. The ball is 30 feet off the ground after 1 second and 22 feet off the ground after 2 seconds. The height h above ground is a quadratic function of the time t after the ball is thrown. a) What is the equation that fits this model? b) How long after the ball is thrown will it reach its maximum height? 2 decimals c) What is the maximum height the ball reaches? Answer Answer Answer
- 4. A computer animator is trying to make an animation of a rabbit rushing back and forth along a sidewalk. He decides to model the rabbit's velocity over time as shown in the following graph, where time is measured in seconds and velocity is measured in meters per second. velocity 3 2 1 777749 -24 -4 -5 3 4 8 9 time 10 (Here, positive velocities indicate that the rabbit is heading east; negative velocities indicate that the rabbit is heading west.) (a) Suppose the rabbit starts at a position we'll call 0. Sketch a rough graph of the rabbit's position as a function of time on the interval [0, 10]. We do not expect your graph to be perfect, but it should accurately show whether the graph is increasing or decreasing and whether it is concave up or concave down. (b) At time 0, there was a squirrel sitting 2 meters east of the rabbit. Suppose that the squirrel's velocity on [0, 10] is given by the same graph shown above. On your graph from (a), also sketch the squirrel's position as a…You are driving 65.0 miles/hour and you see a police car, so you slow down to 42.5 miles/hour. It takes you 3 seconds to do this. What is your deceleration? (I asked this one before, but someone plugged in -22.5 miles/hr x 2.237 m/s / 1 mile an hour which I didn't understand)A person runs at a pace of 6.52mi/hr. How long does it take the person to run a 15.0km race? (1mi=1.61km)
- The distance from the Earth to the moon is 239,000 miles. The distance from the Earth to the moon is 385000 km. Given that light travels at 3.00 × 10⁸ m/s how many minutes does it take for light to travel to the moon?Report Sheet Data: Uniform and Accelerated Motion Part 1: Uniform Motion Time (s) Distance (cm) .a 20 40 κάπως .3 .7 1 1.1 60 80 100 120 Include a file called uniform motion.cmbl showing a graph of distance as a function of time. Equation of motion, d(t), assuming d = do + vtQ1