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- 1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.Q. A woodpecker's brain is specially protected from large decelerations by tendon-like attachments inside the skull. While pecking on a tree, the woodpecker's head comes to a stop from an initial velocity of 0.565 m/s in a distance of only 2.15 mm. a. Find the acceleration in m/s² b. Find the acceleration in multiples of g (g = 9.80 m/s2) This means that you want to determine how much bigger the acceleration you calculated in part a is compared to the acceleration due to gravity, c. Calculate the stopping time (in s).46.
- Q4. A stone was dropped from a cliff of height 100 m. Ignoring air resistance, how long will it take the stone to reach ground? juaiļ, o ú 49 49 =4 t -4.9t Q5. A stone was dropped from a cliff of height 100 m. Ignoring air resistance, what will be the final speed of the stone when it reaches ground? Q6. An object has an initial velocity of 8 m/s and acceleration of 2 m/s?, how far the object will move in 10 seconds?You have been hired as a physics professor by some aliens and taken far far away to their ‘planet’. Being curious, you wanted to find out which ‘planet’ you were on. With an alien stopwatch you determined the time for a 2.0 kg alien object released from a height of 2.5 m to hit the ground to be 1.75 s. 1. What is the acceleration due to gravity on the alien ‘planet’? 2. With what speed does the alien 2.0 kg object hit the ground?Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = v'(t) = g, where g= - 9.8 m/s. a. Find the velocity of the object for all relevant times. b. Find the position of the object for all relevant times. c. Find the time when the object reaches its highest point. What is the height? d. Find the time when the object strikes the ground. A softball is popped up vertically (from the ground) with a velocity of 25 m/s. а. v(t) b. s(t) = %3D c. The object's highest point is m at time t= S. (Simplify your answers. Round to two decimal places as needed.) d. t= (Simplify your answer. Round to two decimal places as needed.)