Velocity of a Maglev The velocity (in feet per second) of a maglev is v(t) =...
An object is propelled upward at an initial velocity of 32 feet per second at a. initial elevation of 48 feet above the ground. The free-fall model used to describe the motion is: s(t) = -16t2 + 326 +48 for Osts 3 (t seconds from release of object). Reference: Drop the Ball Activity The average velocity between t = 0 sec and t = 2 sec A) O feet per second B) 24 feet per second C) 12 feet per...
Given information: An object is moving with velocity (in feet per second) described by the function v (t) = 4t + 1. We will reason about the object's position function, 8 (t). Question 1 How much does the position change over the time interval (0,4) Answer with a number only (units are feet) 36 Question 2 Question: Think back to the total change theorem. What additional Information would allow us to find a(4), the object's position at time t =...
The velocity at time t seconds of a ball launched up in the air is v(t)32t 104 feet per second. Complete parts a and b. a. Find the displacement of the ball during the time interval 0sts3. The displacement of the ball is feet. b. Given that the initial position of the ball is s(0)-6 feet, use the result from part a to determine its position at time t = 3 The position of the ball is at feet.
The...
feet per second and in miles per second 18 An object of mass m is moving horizontally through a medium which resists the motion with a force that is a func- tion of the velocity; that is, d's dv f(v) dt =m dt2 where v = s(1) represent the velocity and at time , respectively. For example, v(t) and s position of the object think of a boat moving through the water. (a) Suppose that the resisting force is proportional...
If an object is thrown with a velocity of v feet per second at an angle of θ with the horizontal, then its flight can be modeled by, x = (v cos θ ) t and y = v (sin θ ) t - 16 t2 + h where t is in seconds and h is the object's initial height in feet above the ground. x is the horizontal position and y is the vertical position, and - 16 t2...
A projectile is launched from ground level with an initial velocity of v 0 feet per second. Neglecting air? resistance, its height in feet t seconds after launch is given by s equals negative 16 t squared plus v 0 t. Find the? time(s) that the projectile will? (a) reach a height of 80 ft and? (b) return to the ground when v 0 is 32 feet per second. ?(a) Find the? time(s) that the projectile will reach a height...
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3)
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
An object is propelled upward at an initial velocity of 32 feet per second at an initial elevation of 48 feet above the ground. The free-fall model used to describe the motion is: s(t) = -1672 + 32t +48 for 03033 (t seconds from release of object). Reference: Drop the Ball Activity The average velocity between t = 2 sec and t = 3 sec A) -48 feet per second B) -24 feet per second C) 16 feet per second...
1) A ball moves with velocity v=(2, 3.4, 6) m/s (meter per second). At time t = 0, it is located at position p=(0, 5, 2). a) Find the equation of its path in parametric form. b) At time t = 10 second, what is the ball's position?
The velocity v, in meters per second, is given as a function of time t, in seconds, by v(t) = -0.679t2 + 1.15t – 9.89 What is the acceleration at time t = 3.49 s? acceleration: m/s2