if a ball s thrown in the ar with a vebcity ot 35 /S, ith beight Cn feel) after t secands is given by Y= 35t-16t2 find the velocity when t= 4 .

Find the geneul suluticn dy t. + 2y= 2X 2. dx

2. The distance traveled (in feet) by a car t seconds after acceleration from rest is given by s(t) = 8t2 a) Find the average velocity of the car over the given time intervals. (Include units) i) [5,5.05] ii) [5,5.01] iii) [5, 5.001] b) Estimate the instantaneous velocity of the car after 5 seconds. (Include units)

A pontoon boat approaches a low bridge 100 m ahead at a velocity of 34.0 m/s. The pilot reduces the throttle, slowing the boat with a constant acceleration of -3.20 m/s². (a) How long (in s) does it take the boat to reach the bridge? 0.033 X Signs are critical. Check the sign for the initial velocity, the acceleration, and the change in position. Look for sign errors in your expression for the solution to the quadratic. Does a negative time make sense? s (b) What is the velocity (in m/s) of the boat when it reaches the bridge? (Indicate the direction with the sign of your answer.) m/s