A particle's acceleration is (4.0î + 3.0ĵ) m/s². At t = 0, its position and velocity are zero. (a) What are the particle's position and velocity as functions of time?
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- Nerve 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.An object is travelling in 1-dimension (i.e. along the x- axis) with a velocity described by the equation: v(t)=v0+1/6st^3 , where s and v0 are constants. The object’s position, and acceleration at time t = 0 are given by d0, and a0 respectively. In terms of the variables given, what is the average acceleration of the object over the interval from 0 to 2 seconds.A particle moves so that its position (in meters) as a function of time (in seconds) is r = î + 5t2 j + 5t k. (Use the following as necessary: t.) (a) Write an expression for its velocity as a function of time. V = m/s (b) Write an expression for its acceleration as a function of time. a = m/s?
- ... .. 黑 庫 康 圖 重 團 廉 知連 国 軍 | 国 庫 康 |重 A body moves along one dimension with a constant acceleration of 4,65 m/s over a time interval. At the end of this interval it has reached a velocity of 11.8 m/s. (a) If its original velocity is 5.90 m/s, what is its displacement (in m) during the time interval? m (b) What is the distance it travels (in m) during this interval? (c) A second body moves in one dimension, also with a constant acceleration of 4.65 m/s , but over some different time interval. Like the first body, its velocity at the end of the interval is 11.8 m/s, but its initial velocity is -5.90 m/s. What is the displacement (in m) of the secorkd body over this interval? (d) What is the total distance traveled (in m) by the second body in part (c), during the interval in part (c)? mA particle has a velocity of v= (3i+5j)m/s and a constant acceleration of a=(-1.5i-4.5j)m/s^2 What is its velocity after 2 seconds? Is it moving faster or slower after 2 seconds?Please Asap
- Mark drives his car along a straight highway. The velocity of his car at time t is given by v(t) = 4.2\t³ + 2t. The velocity is in miles per hour. If he is at mile marker 12 when t = 6 hours, Determine the nearest mile marker at t = 6.5 hours. (А) 34 (В) 46 (С) 51 (D) 62 A O B O DHere are a couple acceleration problems. Acceleration isn't necessarily constant. These problems will be pure math problems, meaning that we won't use units. a(t) = dv/dt = 146 cos(4t) v(t) = dx/dt, v(0) = -3, and x(0) = -6 Calculate x(6).In SI units, an object's position is given by [4t, 3t, 5] . What the object's velocity at t=0? An object's position is given by [4t, 3t, 5]. What the object's speed at t=0? An object's velocity is given by [2, 3, 5] m/s. What the object's acceleration at t=0?
- A particle moving along a straight line has initial velocity v(0) = 1 m/s, and acceleration a(t) = sin(I-t) + cos(t+1) (in m/s?). (a. Find the velocity at time t. (b) Find the average velocity during the time interval [I, 211]. (c) Find the distance traveled during the time interval [1, 2I].A proton initially has v = 6.0 î - 3.0 ĵ + 4.0 k and then 4.0 s later has v = -3.0 î - 3.0 ĵ + 4.0 k (in meters per second). (a) For that 4.0 s, what is the proton's average acceleration aava in unit-vector notation? m/s? î + m/s? ĵ + m/s² k (b) For that 4.0 s, what are the magnitude and direction of aavg? m/s? ° (from the +x axis in the xz plane)