Question

In: Physics

A ball is thrown straight upward. The functional form if its position is Y = -4.9...

A ball is thrown straight upward. The functional form if its position is

Y = -4.9 t2 + 5t + 3  

Find the following. For each part, show your complete solution. Formula. Substitution, and result with the unit.

  1. What is the equation of velocity as a function of time by using derivatives?
  1. What is the acceleration of motion by using derivatives?
  1. What is velocity at maximum height?
  1. What is the initial velocity of the ball?
  1. To what maximum height the ball can reach.
  2. What is initial position of the ball relative to the ground?
  1. What is final velocity of the ball?

Solutions

Expert Solution


Related Solutions

•A ball is thrown upward from an initial height of   4.9 m with an initial speed...
•A ball is thrown upward from an initial height of   4.9 m with an initial speed of 9.8 m/s •How high is the ball 2.0 s later? •What is the velocity of the ball at its highest point •When does it reach Its highest point •How high does the ball go? •When does the ball hit the ground? •How fast is it going when (right before) it hits the ground?
a ball was thrown straight upward from the top of a building 120 ft high at...
a ball was thrown straight upward from the top of a building 120 ft high at a rate of 24 ft/s. answer the following questions (acceleration is -32 ft/s^2 ) a. at what time t does the ball reach its maximum height? b. what is the velocity of the ball at 3 seconds? c. how long does it take for the ball to hit the ground? d. what is the velocity of the ball when it hits the ground?
A ball of mass 75g is thrown upward with an initial positive velocity, vi, at position...
A ball of mass 75g is thrown upward with an initial positive velocity, vi, at position A.   Match the energy transformations taking place for each region of the ball's motion. Question 23 options: Moving from Position C (before hitting the ground) to stopped after hitting the ground Position B to Position C    Position A to Position B 1. K → Ug 2. Ug → K 3. K → Eth 4. Ug → Eth
Two identical balls, Ball A and Ball B are thrown vertically upward. Ball A is thrown...
Two identical balls, Ball A and Ball B are thrown vertically upward. Ball A is thrown with an initial speed of v, and Ball B is thrown with an initial speed of 2v. Which of the following statement is correct? Ignore air resistance. A. The maximum heights of the two balls are equal. B. The maximum height of the second ball is eight times that of the first ball. C. The maximum height of the second ball is 1.41 times...
A 2.00 kg ball is thrown straight upward from the top of a 50.0 m high...
A 2.00 kg ball is thrown straight upward from the top of a 50.0 m high building with an initial speed of 10.0 m/s.        Given:        a. What is the total energy at the top of the building?        b. What is the total energy at the ground?        c. What are the potential and kinetic energies at the ground?        d. What is its speed at the ground?
1. A 2.00 kg ball is thrown straight upward from the top of a 50.0 m...
1. A 2.00 kg ball is thrown straight upward from the top of a 50.0 m high building with an initial speed of 10.0 m/s. (25 points)        Given: (1 point)        a. What is the total energy at the top of the building? (6 points)        b. What is the total energy at the ground? (6 points)        c. What are the potential and kinetic energies at the ground? (6 points)        d. What is its speed at the...
A ball is thrown upward with a speed of 28.2 m/s. A. What is its maximum...
A ball is thrown upward with a speed of 28.2 m/s. A. What is its maximum height? B. How long is the ball in the air? C. When does the ball have a speed of 12m/s? (there are two answers, give both)
A ball is thrown straight up with an initial speed of 19 m/s. The ball was...
A ball is thrown straight up with an initial speed of 19 m/s. The ball was released 6.3 m above the ground, but when it returns back down, it falls into a hole d m deep. If the ball’s speed is 35.7 m/s at the bottom of the hole, how deep is the hole (in m)?
a Ball is thrown upward from the top of a 23.5 m building with a speed...
a Ball is thrown upward from the top of a 23.5 m building with a speed of 12.4 m/s. ignore air resistance A) draw and label a figure with a coordinate system showing the balls initial position and initial velocity. B) write down the proper equations of motion and replace all known initial conditions and constant values with their appropriate numerical values to find the following C)to what maximum height above the ground will the ball rise? D) how much...
A ball is thrown straight up from the edge of the roof of a building. A...
A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof a time of 1.20 s later. You may ignore air resistance. A) If the height of the building is 20.7 m , what must the initial speed be of the first ball if both are to hit the ground at the same time? B) Consider the same situation, but now let the initial speed v0 of the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT