1) The position of a particle is given by s(t) = t - 10t + 10t...

  

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1) The position of a particle is given by s(t) = t - 10t + 10t + 10 in feet. a) Write the velocity and acceleration functions for the object. b) Find the velocity and position of the object when the acceleration is 10 ft sec2. 2) A ball is thrown upward, vertically, from the ground with an initial velocity of 80 feet per second. a) Write the position, velocity and acceleration functions for the ball. b) Find its velocity at t = 2 seconds c) Find the speed of the ball when it hits the ground. d) Find the maximum height of the ball. 3) A rock is dropped from a height of 784 feet. a) Write the position, velocity and acceleration functions for the rock. b) What is the average velocity of the rock during the time that it is falling? c) Another rock was thrown downward from a height of 1056 feet and an initial velocity of 80 feet per second. Write the position, velocity and acceleration functions for this rock. Which rock hit the ground first? 4) A person is standing on top of a 192-foot tower and throws a ball directly upward with an initial velocity of 64 feet per second. (Ignore the height of the person.) a) Write the position, velocity and acceleration functions for the ball. b) In how many seconds does the ball hit the ground? c) What is the velocity of the ball when it hits the ground? d) In how many seconds does the ball reach its maximum height? e) What is the maximum height of the ball? f) What is the acceleration of the ball at 3 seconds? 1) The position of a particle is given by s(t) = t - 10t + 10t + 10 in feet. a) Write the velocity and acceleration functions for the object. b) Find the velocity and position of the object when the acceleration is 10 ft sec2. 2) A ball is thrown upward, vertically, from the ground with an initial velocity of 80 feet per second. a) Write the position, velocity and acceleration functions for the ball. b) Find its velocity at t = 2 seconds c) Find the speed of the ball when it hits the ground. d) Find the maximum height of the ball. 3) A rock is dropped from a height of 784 feet. a) Write the position, velocity and acceleration functions for the rock. b) What is the average velocity of the rock during the time that it is falling? c) Another rock was thrown downward from a height of 1056 feet and an initial velocity of 80 feet per second. Write the position, velocity and acceleration functions for this rock. Which rock hit the ground first? 4) A person is standing on top of a 192-foot tower and throws a ball directly upward with an initial velocity of 64 feet per second. (Ignore the height of the person.) a) Write the position, velocity and acceleration functions for the ball. b) In how many seconds does the ball hit the ground? c) What is the velocity of the ball when it hits the ground? d) In how many seconds does the ball reach its maximum height? e) What is the maximum height of the ball? f) What is the acceleration of the ball at 3 seconds?