Ifs is a distance given by s(t) = 5tº + 27 + 4t, find the acceleration,...
Solve the problem. Points: 2 10) If s is a distance given by s(t) = 3+4 +93 +4t, find the acceleration, a(t). 5
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,...
The acceleration of a body is given by a (t) = 8 + 4t - 3t^2 , where a is in m / s^2 and (t) in seconds. TO t = 2.0 s, the initial velocity of the particle is 2.0 m / s. Find the velocity of the particle at t = 4.0 s
Suppose that an object's acceleration function is given by a(t) = 8 +5. The object's initial velocity, v(O), is 5, and the object's initial position, s(0), is 7. Find (1) + 5t + OA / SP +74+5 OC. 4t? + 5t+5 OD. 4 5 + +5 +7 Click to select your arswer Test of Use Privac Pollo Copyright 2020 Pearson Education the Rights Reserve
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.)
1)a)The acceleration of a car is given by the function a(t) = sin(t) m / s² at time t s. The average acceleration for 0 ≤ t ≤ π s is _____ m / s². Round your answer to two decimal places. b) The acceleration is given by a(t) = 4t at time t s. The initial position is 1 m, and, the initial velocity is 3 m / s. At time t = 4 s, the position is _____...
Given that s(t) = - 4.9t2 + 125t represents the distance (m) of an object from the ground, t seconds after it was thrown in the air, determine when the object reaches the ground. t= 27.5 s a. t = 20.5 s Ob. t= 25.5 s Oc. t= 26.7 s d. t= 22.5 s Oe. Of. t=23.55 Given that s(t) = -4.9t2 + 132t + 20 represents the distance in meters from the ground t seconds after an object is...
14- The position of a moving particle at timet is given by x = 4t +3, y = + + 3t, z=ť +5ť. . Calculate magnitude of velocity of the particle at t=1 ? OA) 4 +5j-13 OB) 1210 Oc) 2i +59-13 OD 210 O E) 110
An object moves in along the x-axis with an acceleration given by: a = 4t (m/s2). The position of the object at t=0.0 is 7 m, and its velocity at t=0.0 s is 5 m/s. Calculate the position at t=6 s.
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2<t<π/2. r(t) = (4 + t)i-(8+In(sect))j-9k, Find the tangential and normal components of the acceleration for the curve r(t)-(t2-5)i + (21-3)j +3k. a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2