Write the functions that give the velocity and acceleration of a mass moving with position ?(?) = 3 cm cos(2 ? 12 Hz ? + 0.1). What units do the mass’s position, velocity, and acceleration have?
Write the functions that give the velocity and acceleration of a mass moving with position ?(?)...
POSITION VELOCITY AND ACCELERATION You have three functions where t is greater than or equal to zero: Position s(t)= -5cost Velocity = 5sint Acceleration = 5cost How fast is the edge of the board moving after 2 seconds? Based on your graph, over what intervals is the edge of the diving board moving upward?
A. Write equations for the position, velocity, and acceleration of the mass as a function of time. These equations express what physicists call simple harmonic motion (SHM): B. In our equations above, we have assumed there is no damping (i.e. friction, air drag etc.) to decrease the amplitude of the motion. If you watch the motion of the mass for even a short amount of time, you do see the effects of damping. What should we include in our equations...
A particle moving with a constant acceleration has a velocity of 20 cm/s when its position is x = 10 cm. Its position 4.0 s later is x = - 30 cm. What is the acceleration of the particle? Select one: A. 5.0 cm/s2 B. 15 cm/s2 O C. 10 cm/s2 D. - 15 cm/s2 O E. - 5.0 cm/s2
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) (4t, 2 sin(t), cos(2t)) 5(0) (0, 5,5) r(t) Preview Preview Preview The position of an object at time t is given by the parametric equations Find the horizontal velocity, the vertical velocity, and the speed at the moment wheret - 4. Do not worry about units in this problem. Horizontal Velocity - Preview Vertical Velocity- Preview Preview peed-
Find the position vector for...
11. An Object moving with uniform acceleration has a velocity of 1.2 m/s when x=3cm. What is the objects acceleration if 3 seconds later the object's position is x=-12cm? 2. If the Energy of a mass on a vibrating spring is represented by E= k V t, where "V" is the volume of the mass on the spring, and "t" is for time. What units must the constant “k" have in order for the equation to be dimensionally correct.
A particle is moving with acceleration a(t) 36t +16. its position at time t0 is s(0) 12 and its velocity at timet0 is (0)-1. What is its position at time t- 12? Preview
A particle is moving with acceleration a(t) 36t +16. its position at time t0 is s(0) 12 and its velocity at timet0 is (0)-1. What is its position at time t- 12? Preview
6.1.35 Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t)= cos xt, v(0) = 4, s(0) = 1 The velocity is v(t)- Type an exact answer.)
* A particle is moving with acceleration function a(t) = 21-1, find the position of the object where the initial velocity is v(O)=2 and the initial position is s(0)=1. a. -3 -2 +21 b.sin(2x) OC 12 +2 Od. - *+21+1 Oe 12-*+2+1
The position of a particle moving under uniform accelerationis some function of time and the acceleration. Suppose we writethis position as: x=kamtn where k is adimensionless constant. Show by dimensional analysis that this expression is satisfied if m=1 and n=2. Can this analysis give the value of k? a)Draw a picture b)write down what you know c)write down relevant equations d)solve the unknown e)Plug in numbers and calculate f)units and direction
9. [10 pts] Find the original position and velocity functions for a particle if it's acceleration vector is a(t) (6t, 10,4) and its position and velocity vectors at timet 1are given by ř(1) (8,9,1) and v(1) (5,11,1), respectively.