Chapter 2, Problem 82P

The acceleration of a particle is given by a = 2t - 15, 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 5o = -6 m, and the initial velocity is vo= 5 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 4.9 s, S= i V= a= i i m m/s m/s²

The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by as = 16.0 m/s². At t = -2.0 s, the particle's velocity is 10.0 m/s. What is its velocity at t = 6.0 s? a (m/s²) Ag -2 0 Number i 2 4 Units 6 t(s)

The figure shows the acceleration-versus-time graph of a particle moving along the x-axis. Its initial velocity is v0x = 5.00 m/s at t0 =0s. What is the particle's velocity at t = 2.00 s ?

An object moves in one dimensional motion with constant acceleration a = 7.4 m/s². At time t = 0 s, the object is at x = 3.2 m and has an initial velocity of vo = 4 m/s. How far will the object move before it achieves a velocity of v = 6.6 m/s? Your answer should be accurate to the nearest 0.1 m.

The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6.4 seconds of motion and evaluate the velocity when a is zero. Make the plots and then answer the questions. Questions: When t = 0.8 s, V = i m/s, a = i m/s2 When t = 3.7 s, V = i m/s, a = i m/s? When t = 4.7 s, V = i m/s, a = i m/s? When a = 0, V = m/s

At time t = 0, a particle has a velocity of m v = 4.00. The following graph shows the particles a(t) S acceleration vs. time. a. What was the particle's velocity at t = 3.00s ? 2 4 t b. What was the particle's instantaneous acceleration time(s) at t = 3.00s ? С. What was the average acceleration between t = 1.00s and t = 3.00s ? 4- 2. acceleration(m/s)

The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by as = 13.0 m/s². At t = -2.0 s, the particle's velocity is 9.00 m/s. What is its velocity at t = 6.0 s? -2 a (m/s²) Ag 0 2 4 6t(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/s²

A rocket is fired vertically upward with an initial velocity of 80 m/s at the ground level. Its engine then fires and it accelerated at 4m/s2 until it reaches an altitude of 1200m. At that point, the engine fail and the rocket goes into free fall. Disregard air resistance. How long was the rocket above the ground?