Given s(t)-5t +10t, find (c) the velocity and acceleration when t-2 (a) vt) (b) a(t) (c) When t- 2, the velocity isfeet per second ее (Simplify your answer.) When t-2, the acceleration is feet pe...
Given s(t)= +2t, where s(t) is in feet and t is in seconds, find each of the following. a) v(t) b) a(t) c) The velocity and acceleration when t=2 sec a) v(t)= b) a(t)=0 c) When t= 2 sec, the velocity is | (Simplify your answer.) When t = 2 sec, the acceleration is (Simplify your answer.)
Given s(t) = 2+ + 4t, where s(t) is in feet and t is in seconds, find each of the following. a) v(t) b) aſt) c) The velocity and acceleration when t= 2 sec a) v(t) = b) a(t) = c) When t = 2 sec, the velocity is (Simplify your answer.) When t = 2 sec, the acceleration is (Simplify your answer.)
Given s(t) = 1, where s is in miles and is in hours, find each of the following. a) v(t) b) aft) c) The velocity and acceleration when t he d) When the distance function is given by the linear function, there is uniform motion What does uniform motion mean in terms of velocity and acceleration? a) (t) = 1 b) alt=1 c) When t = 4 the velocity is miles per hour (Simplify your answer.) When t = 4,...
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...
Need help on Question 5 Cylinder B has a downward velocity in feet per second given by V_B = 2t^2 + t^3 where t is in seconds. Calculate the acceleration of A when t= 2 seconds. Car A is moving east at the constant speed of 36 km/hr. As car A crosses
If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters) after t seconds is given by H= 10t-1.86t^2. a). Find thevelocity of the rock after one second. b). Find the velocity of the rock when t=a. c). When will the rock hit the surface? d). With what velocity will the rock hit thesurface?
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 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...
Let s(t) represent the position, v(t) represent the velocity, and a(t) represent the acceleration of a particle moving along a horizontal line. For each of the problems below: a. Find the net distance traveled in the interval given. Justify your answer analytically b. Find the total distance traveled in the interval given. Justify your answer analytically. v(t) = t^2 – 5t + 6 where 0 ≤ t ≤ 3.
A particle's velocity is given by v(t) = 21 + cos(5t). Find the following. (3 pts. each) A) The position function for the particle if its position is 5 when t = 0. B) The acceleration of the particle at I =*