A moving object accelerates uniformly from 75 m/s at time t=0 to 135 m/s at t=10 s. How far did it move during the time interval t=2 s to t=4 s?
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- A car is traveling north on a city street. It starts from rest at a stoplight and accelerates uniformly at a rate of 1.0 m/s until it reaches the speed limit of 17 m/s. The car will travel at this velocity for 5 minutes and will then decelerate at a uniform rate of 1.4 m/s until it comes to a complete stop at the next stop light. How far apart are the two lights?Position of a particle moving along the x-axis varies in time according to the following expression x(t) = (-2,0 ") e* + (6.0")t- 2 m t +(6.0")t- What is its average velocity for the time interval t = 0.0 s to t = 2.0 s? O -6.0 m/s 4.0 m/s -3.0 m/s O-5.0 m/s O -4.0 m/s O -2.0 m/s -8.0 m/sBob is cruising leisurely on his bike at 2.4 m/s when Jim passes him, traveling at a constant 10.2 m/s. Bob immediately begins accelerating at 2.2 m/s2 until he reaches his maximum velocity of 13.5 m/s. He continues cruising at that speed until he catches Jim. How long did it take him to catch up to Jim? (Assume the clock started at the instant he began to accelerate.) t = How far did he have to go to catch up to Jim? Ax =
- Suppose an object starts at time t=0 at a position defined as x=0 m. At t =.5 s the object is at x=1.5 m. At t =1 s the object is at 2.0 m. What is the average velocity for the first interval (approximated at t=.25 s) and the second interval (approximated at t=.75 s)? I'm mainly confused about what is meant by approximated at t=.25 and t=.75?You're driving down the highway late one night at 20m/s when a deer steps onto the road 35m in front of you. Since it takes your brain and body a bit of time to react, you travel for another 0.5s at this speed before hitting the brakes. Your car's maximum braking acceleration has a magnitude of 10m/s2. How far do you travel between the instant you see the deer and the instant you come to a complete stop?A physics teacher walks 5 km East, 2.5 km South, 5 km West, and finally 2.5 km North. The entire motion lasted for 3 hours. Determine the average speed and the average velocity.
- Bob is cruising leisurely on his bike at 2 m/s when Jim passes him, traveling at a constant 10 m/s. Bob immediately begins accelerating at 2.2 m/s² until he reaches his maximum velocity of 13.5 m/s. He continues cruising at that speed until he catches Jim. How long did it take him to catch up to Jim? (Assume the clock started at the instant he began to accelerate.) t = How far did he have to go to catch up to Jim? Ax = %3DYou're driving down the highway late one night at 21 m/s when a deer steps onto the road 38 m in front of you. Your reaction time before stepping on the brakes is 0.50 s , and the maximum deceleration of your car is 10 m/s2. How much distance is between you and the deer when you come to a stop?A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 4.0 m/s, and her takeoff point is 1.1 m above the pool. Which of these two valid methods is the easiest to find how long her feet are in the air? Group of answer choices Break the problem in two parts. For part 1, find the time to reach her highest point by using v0 = 4 m/s, a = -9.8 m/s2, and vf = 0 m/s. For part 2, you can use the highest point above the board found in the previous problem and add it to her height above the pool. Then, using v0 = 0 m/s and a = -9.8 m/s2, you can find the time to reach the ground. Since you only care about the end points in this case, you can use v0 = 4 m/s, a = -9.8 m/s2, and Δy = -1.1 m to find the time to reach the ground.
- Sarah is standing when she sees a boy running towards her with constant velocity 6.0 m/s. When they are 200 m apart, Sarah starts running to meet him. She runs with a constant acceleration, and by the time they meet, Sarah is running at 7.0 m/s. How long, from the time Sarah begins moving, does it take for them to meet?An express train passes through a station that is 220 m long. It enters with an initial speed of 22.5 m/s and decelerates at a rate of 0.14 m/s2 as it goes through. During what time interval, in seconds, is the front of the train within the station? How fast is the train moving, in meters per second, when its front leaves the station? If the train is 130 m long, how long, in seconds, after the front of the train enters the station does the end of the train leave the station? What is the velocity of the end of the train as it leaves in m/s?The position of an object is given as a function of time as x(t) = (-3.00 m/s)t + (1.00 m/s2)t2. What is the average speed of the object between t = 0.00 s and t = 2.50 s?