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A ball is thrown, and its velocity at time t is v(t) = (−t + 5) meters per second. What
is its displacement from t = 0 to t = 5?
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- 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 isAn object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume constants have proper SI Units) What are the object's instantaneous velocity at t = 3.00 seconds ? Answer = 48.5 m/s
- A particle’s velocity along the x-axis is described byv(t) = A t + B t2,where t is in seconds, v is in meters per second, A = 1.06 m/s2, and B = -0.51 m/s3. What is the distance traveled, in meters, by the particle between times t0 = 1.0 s and t1 = 3.0 s?The displacement of a particle is given by s = 3t3 - 53t2 + 115t - 62 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 14 seconds of motion. After you have made the plots, answer the questions.Questions: At t = 3 sec, s = ft, v = ft/sec, a = ft/sec2 At t = 7.7 sec, s = ft, v = ft/sec, a = ft/sec2 At t = 11.5 sec, s = ft, v = ft/sec, a = ft/sec2 The velocity is zero when t = sec and when t = secNerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally steps barefoot on a pebble. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the person is 1.60 m tall and the nerve impulse travels at uniform speed.
- A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. What is the distance of the space shuttle to the base 1 minute after it has been launched ?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/s²An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume constants have proper SI Units) An object's instantaneous velocity at t = 3.00 seconds is 45.5 m/s What is the object's average velocity between t = 0 and t = 3.00 seconds? Answer is 68.0 m/s^2 What is the object's average acceleration between t = 0 and t = 3.00 s Answer : - 50.5 m/s^2
- I throw a ball straight up in the air. It travels straight up 2 meters and then straight back down where I catch it at the same height it was released from. The distance the ball has traveled is meters. The displacement of the ball is meters. (use the proper number of sig figs in your answer given the provided information).Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 , where t is in seconds. What is the particle’s velocity when t = 6s, and what is its position when t = 11s? Create a plot for position, velocity, and acceleration versus time, from 0-15s. (Use integration.)The displacement of a particle is given by s= 5t³ - 59t² + 87t-68 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 9 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 0.9 S= i ft, v = ft/sec, a = ft/sec² sec, Att = 5 sec, S= ft, v= ft/sec² ft/sec, a = Att = 6.6 sec, i S= ft, v = ft/sec, a = ft/sec² The velocity is zero when t = i Mi i sec and when t = i i sec