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- A particle moves along the x-axis according to the equation x 2.00 + 3.00t - the acceleration of the particle. 1.00t2. where x is in meters and t is in seconds. At t=D3.00s, findThe coordinates of a particle moving along a curve are x(t) = -2t2 +15 and y(t) = t2 -10t + 15 , m whent is in seconds. Calculate the magnitude of velocity and acceleration when t= 5 sec.The acceleration of a particle is given by a 4t - 37, where a is in meters per second squared and tis in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = O is so = 9 m, and the initial velocity is vo = 0 m/s. After you have the general expressions, evaluate these expressions at the indicated times. Answers: m, v m/s Att- 2.9s. m. v- m/s Att 10.6 s, S-
- The acceleration of a particle is given by a = 2t-20, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -5 m, and the initial velocity is vo = 6 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 5.1 s, S= V = a = Mi MI i m m/s m/s²A particle moves along the x axis according to the equation x=2.00 + 3.00t - 1.00t², where x is in meters and t is in seconds. At t=3.00s, find (a) the position of the particle, (b) its velocity, and (c) its acceleration.A stone is dropped from the top of a cliff. It is seen to hit the ground below after 3.78 ss . How high is the cliff? Express your answer to three significant figures and include the appropriate units.
- The position of a particle is given by the expression x = 2.00 cos (2.007t + x), where x is in meters and t is in seconds. Determine the position of the particle at t = 0.350 s.The velocity of a particle moving along x-axis is defined by v=s3-4s2+6s where v is in m/s ands in meters.Compute the velocity when s=2m, compute the acceleration when s=2m.The acceleration of a particle is given by a = 4t - 31, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = O is so = 0 m, and the initial velocity is vo = 5 m/s. After you have the general expressions, evaluate these expressions at the indicated times. Answers: At t = 1.6 s, s = i vm, i m/s At t = 15 s, S = i vm, i m/s
- Velocity and acceleration of a particle at time (4î + 2j) m/s? respectively. Find the velocity and displacement of particle att = 2 s. = 0 are u = (2î + 3j) m/s and a =The acceleration of a particle is given by a = 4t - 32, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = 3 m, and the initial velocity is vo= -4 m/s. After you have the general expressions, evaluate these expressions at the indicated times. Answers: Att = 2.1 s. S= i Att 17.6s, S = i m, V = m, V = i m/s m/sThe height of a helicopter above the ground is given by h = 3.0013, where h is in meters and t is in seconds. After 2.00 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?