A body travels uniformly a distance of (13.8+0.2) m in a time (4.0 + 0.3) S. The velocity of the body within error limits is (a) (3.45+0.2)ms (b) (3.45+0.3)ms 1 (c) (3.45+0.4)ms (d) (3.45+0.5)ms -1
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- An object's velocity as a function of time in one dimension is given by the expression; v(t) = 2.71t + 7.88 where are constants have proper SI Units. What is the object's velocity at t = 4.19 s?Two runners start simultaneously from the same point on a circular 200-m track and run in opposite directions. One runs at a constant speed of 6.20 m/s, and the other runs at a constant speed of 5.50 m/s. When they first meet, (a) for how long a time will they have been running, and (b) how far will each one have run along the track?An object's velocity as a function of time in one dimension is given by the expression; v(t) = 3.8t + 6.68 where are constants have proper SI Units. At what time is the object's velocity 61.2 m/s?
- An unidentified flying object (UFO) is observed to travel a total distance of 19000 m, starting and ending at rest, over a duration of 4.23 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2.An unidentified flying object (UFO) is observed to travel a total distance of 49000 m, starting and ending at rest, over a duration of 3.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 20,796 g s 10,398 g s 2,120 g s 1,060 g sA fast food restaurant uses a conveyor belt to send the burgers through a grilling machine. If the grilling machine is 1.1m long and the burgers require 2.5min to cook, how fast must the conveyor belt travel? If the burgers spaced 15cm apart, what is the rate of burger production (in burgers/min)?
- Two masses hanging side by side from springs have positionss1 = 2 sin t and s2 = sin 2t, respectively. At what times in the interval 0 < t do the masses pass eachother?The Moon is about 3.8 ✕ 108 m from Earth. Traveling at the speed of light, 3.0 ✕ 108 m/s, how long does it take a laser beam to go from Earth to the Moon and back again (in s)?The equation for position x (meters) for a particle moving horizontally with a constant acceleration of a = 8.128 m/s2 when the particle was initially at rest with v0 = 0 m/s and x0 = 0 meters is in the form of a second order polynomial. The value of the constant immediately preceding the t2 in that second order polynomial equation for position x (meters) is most closely:
- A ball kicked from ground level at an initial velocity of 68 m/s and an angle θ with ground reaches a horizontal distance of 295 meters. What is the size of angle θ and what is time of flight of the ball?a. θ = 17.223⁰, t = 8.44 sb. θ = 19.372⁰, t = 4.6 sc. θ = 18.263⁰, t = 9.3 sd. θ = 16.273⁰, t = 7.3 sHow far from the origin has the particle gone after 0.11 minutes if Vx = 3m/s , Vy = 2 m/s and Vz = 3.31 m/s. Assume that the particle is moving at a constant rate.On a spacecraft two engines fire for a time of 567 s. One gives the craft an acceleration in the x direction of ax = 4.80 m/s2, while the other produces an acceleration in the y direction of ay = 7.52 m/s2. At the end of the firing period, the craft has velocity components of vx = 3751 m/s and vy = 4834 m/s. Calculate the magnitude of the initial velocity.