The automobile is originally at rest, i.e., s (t = 0 s) = 0 m. If it then starts to increase its speed at a (t) = (0.05t2 ) ft/s 2 , where t is in seconds, then determine the magnitudes of its velocity and acceleration at s = 550 ft. Note that a (t) becomes a t (t) along the circular path.

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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. (*

An article explains that the locomotion of different-sized animals can be compared when they have the same Froude number, defined as F = gl velocity, g is the acceleration due to gravity (9.81 m/sec2) and I is the animal's leg length. (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for an animal with a leg length of 1.12 m. (b) Ancient footprints of a dinosaur are roughly 1.4 m in diameter, corresponding to a leg length of roughly 5.6 m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling? (a) The velocity at which this animal changes change from a trot to a gallop is (Round to the nearest tenth as needed.) where v is the animal's (...) m/sec.

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 20 ft/s. 90 ft (a) At what rate is his distance from second base decreasing when he is halfway to first base? (Round your answer to one decimal place.) ft/s (b) At what rate is his distance from third base increasing at the same moment? (Round your answer to one decimal place.) ft/s Need Help? Read It

A stone is thrown upwards from the top of a tower 50 meters high. Its velocity in anupward direction t second later is 20 − 5t meters per second. Find the height of thestone above the ground 3 seconds after throwing it.Hint : write the equation, use the initial conditions

A car travels at a constant velocity of 80.0km/hr for 45.0 minutes.  If the direction of the motion is 60.0o S of W,  what is the vertical and  horizontal components of the displacement ?

A tire 0.400 m in radius rotates at a constant rate of 170 rev/min. Find the speed of a small stone lodged in the tread of the tire (on its outer edge). (Hint: In one revolution, the stone travels a distance equal to the circumference of its path, 2.nr.) m/s What is the acceleration of the stone? m/s² away from the center of the path O tangent to the path O toward the center of the path