An accelerating Cheetah reaches a velocity of 25 m/s in 4.5s after which it immediately begins to slow down. What is its acceleration and what is its effective striking range (ie., what distance does it cover)?

A particle is moving in a straight line according to the position function s(1) = 1 - 612 +9t +5, 120, where s is measured in metres and t in se ɔnds. a) Find the average acceleration in the first 3 seconds. b) The particle changes direction twice. When does that happen? c) How far away, from the starting point, is the particle at 1 = 3? d) The particle brakes once. When does that happen? : e) Find the total distance travelled before braking occurs. (*

The smal archerfish Dength 20 to 25 cm) lives in brackish waters of Southeast Asia from India to the Philippines. This aptly named creature captures its prey by shooting a stream of water drops at an insect. either flying or at rest. The bug falls into the water and the fish gobbles it up. The archerfish has high accuracy at distances of 1.2 m to 1.5 m, and it sometimes makes hits at distances up to 3.5 m. A groove in the roof of its mouth, along with a curled tongue, forms a tube that enables the fish to impart high velocity to the water in its mouth when it suddenly closes its gill flaps. Suppose the archerfish shoots at a target that is 2.40 m away, measured along a line at an angle of 30.0° above the horizontal. With what velocity must the water stream be launched if it is not to drop more than 5.00 cm verticaly on its path to the target? 22.65 Your response is within 10% of the correct value. This may

A juggler usually throws balls vertically upwards to a certain height. How high should the balls be thrown in order to spend double the time in the air?