The speed of an object as a function of position is given by the following equation: v² = (7) æ² What is the magnitude of the object's acceleration (in m/s2) at a = 10 m?
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Q: The speed of an object as a function of position is given by the following equation v2 = (10) x What…
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A: As per guidelines only first question is solved here.
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Q: [Q1] A particle moves at a velocity V= 4 t + 10 m/ s After 6s The velocity is changed to V= 46 - 2t…
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Q: [Q1] A particle moves at a velocity V= 4 t + 10 m/ s After 6s The velocity is changed to V= 46 - 2t…
A: Given: V=4t + 10 for t between 0 s to 6 s, V=46-2t for t between 6 s to 15 s, and constant after 15…
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- A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51The speed of an object as a function of position is given by the following equation: v2 = (10) x What is the magnitude of the object's acceleration (in m/s2) at x = 5 m? 2.83A runner wants to run 12.2 kmkm . She knows that her running pace is 6.8 mi/hmi/h . How many minutes must she run? Hint: Use 6.8 mi/hmi/h as a conversion factor between distance and time. Express your answer using two significant figures.
- Tectonic plates are large segments of the earth's crust that move slowly. Suppose one such plate has an average speed of 3.0 cm per year.(a) What distance does it move in 97 seconds at this speed?m(b) What is its speed in miles per million years?mi/MyThe speed of propagation of the action potential (an electric signal) in a nerve cell depends (inversely) on the diameter of the axon(nerve fiber). If the nerve cell connecting the spinal cord to your feet is 0.9 m long and the nerve impulse is 16 m/s. How long (in s) does it take for the nerve signal to travel this distance ?The following data were taken on five cars traversing a 1.6-km highway. Car Time (minutes) A 1.9 B 1.2 C 1.8 D 1.1 E 1.9 Determine the traffic density, in vehicles per km. Express your answer in 2 decimal places.
- Problem 5. The velocity of a particle moving along the x -axis is defined by v = kx°- 4x² + 6x , where v is in m/sec, x in meters , and k is constant. If K = 1, compute the value of acceleration after x= 2meters. Find: 10. a = ?The velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.An automobile traveling 95 km/hkm/h overtakes a 1.40 kmkm -long train traveling in the same direction on a track parallel to the road. A) If the train's speed is 75 km/hkm/h, how long does it take the car to pass it in minutes? Express your answer to two significant figures and include the appropriate units. B) How far will the car have traveled in this time? Express your answer to two significant figures and include the appropriate units. C) How long does it take the car to pass the train if the car and train are traveling in opposite directions in minutes? Express your answer to two significant figures and include the appropriate units. D) How far will the car have traveled in this time? Express your answer to two significant figures and include the appropriate units.
- A particle’s velocity along the x-axis is described by v(x) = A x + B x2, where x is in meters, v is in meters per second, A = 3.56, and B = -1.5 what is the acceleration, in meters per second squared, of the particle position at x = 2.31m?A rabbit runs across a parking lot. The path is such that components of rabbit's position with respect to an origin of co-ordinates as function of time are x = t2+ 10 and y = -9t+ 5. Here x, y are in meter and tin second. The magnitude of rabbit's displacement during first 5 seconds isA pumpkin is shot straight up with an initial speed of 5.9 m/s. What is the maximum height it can reach, in meters? Use g = 10 m/s2.Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.