Skip to main content

A body is thrown vertically upwards with a velocity of 19.6 m/s. What is the total time for which the body remains in the air (g=9.8 m/s^2)?

We can use equations of motion to solve this equation. The initial and final velocity are related as:


v = u + at


where u is the initial velocity, v is the final velocity, a is the acceleration and t is the time taken.


In this case, when the ball is thrown upwards, u = 19.6 m/s and


a = -g = -9.8 m/s^2. Since the ball's upward motion is resisted by gravity, it will...

We can use equations of motion to solve this equation. The initial and final velocity are related as:


v = u + at


where u is the initial velocity, v is the final velocity, a is the acceleration and t is the time taken.


In this case, when the ball is thrown upwards, u = 19.6 m/s and


a = -g = -9.8 m/s^2. Since the ball's upward motion is resisted by gravity, it will come to a stop. That is, v = 0 m/s.


Hence, 0 = 19.6 + (-9.8)t


solving the equation, we get: t = 2 sec.


Thus, the body will rise up for 2 seconds before coming to rest. It will then start falling down again and take 2 seconds for the downward journey. 


The total time spent in the air = time for upward journey + time for downward journey = 2 s + 2 s =  4 s.


One can also use the other equations of motion:


s = ut + 1/2 at^2 and v^2 = u^2 + 2as


to solve for the distance traveled and time taken for the downward journey to verify that the same time is taken to rise up and come down.


Hope this helps.

Comments

Post a Comment

Popular posts from this blog

What is the meaning of "juggling fiends" in Macbeth?

Macbeth is beginning to realize that the three witches have been deceiving him since he first encountered them. Like jugglers, they have kept changing their forecasts in order create confusion. This is particularly apparent when the Second Apparition they raise in Act IV,   Scene 1 tells him that no man of woman born can overcome him in hand-to-hand battle--and then Macbeth finds himself confronted by the one man he has been avoiding out of a... Macbeth is beginning to realize that the three witches have been deceiving him since he first encountered them. Like jugglers, they have kept changing their forecasts in order create confusion. This is particularly apparent when the Second Apparition they raise in Act IV,   Scene 1 tells him that no man of woman born can overcome him in hand-to-hand battle--and then Macbeth finds himself confronted by the one man he has been avoiding out of a sense of guilt, and that man tells him: Despair thy charm. And let the angel whom thou still hast serve...
Post a Comment
Read more

In Martel's Life of Pi, how does writing a diary help Pi Patel build on his leadership skills?

At the end of chapter 73, Pi first divulges the fact that he had started a diary after about a week alone at sea. Pi claims that he wrote about "practical stuff" (208) such as what he caught for food, foreseeable problems and solutions, Richard Parker, and reflections about specific events that occurred. In a sense, Pi is the captain of his ship; therefore, he must take responsibility for himself and his crew. He can... At the end of chapter 73, Pi first divulges the fact that he had started a diary after about a week alone at sea. Pi claims that he wrote about "practical stuff" (208) such as what he caught for food, foreseeable problems and solutions, Richard Parker, and reflections about specific events that occurred. In a sense, Pi is the captain of his ship; therefore, he must take responsibility for himself and his crew. He can do this by writing down events, problems and solutions, and reflections to look back on when confronted with repeated problems. It can ...
Post a Comment
Read more

Why did Tybalt attack and kill Mercutio instead of Romeo, who he had originally been targeting?

Though Tybalt's quarrel is with Romeo, he begins the momentous duel in Act 3 by fighting with and killing Mercutio instead. Tybalt ultimately attacks Mercutio because the garrulous and hot-headed character insults Tybalt and goads him into a duel to protect Romeo's honor. From the beginning of the encounter in Act 3, Scene 1, it's clear that Mercutio is itching for a fight. For instance, when Tybalt signals that he wants to talk to Mercutio... Though Tybalt's quarrel is with Romeo, he begins the momentous duel in Act 3 by fighting with and killing Mercutio instead. Tybalt ultimately attacks Mercutio because the garrulous and hot-headed character insults Tybalt and goads him into a duel to protect Romeo's honor. From the beginning of the encounter in Act 3, Scene 1, it's clear that Mercutio is itching for a fight. For instance, when Tybalt signals that he wants to talk to Mercutio and Benvolio, Mercutio responds "And but one word with one of us?/ Couple it w...
Post a Comment
Read more