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A ball is thrown with a velocity of 20m/s. Find
a]the maximum height to which it rises
b]the time it would take to reach maximum height
c]the time it would take to return back to thrower?
?
Most Upvoted Answer
A ball is thrown with a velocity of 20m/s. Find a]the maximum height t...
Hi!
When a body is projected vertically upwards,
Assuming that g= 10m/s^2 
a] max. height = (u^2)/2g
                       =  400/20
                       =  20 m
b] time of ascent = u/g
                           = 20/10
                           = 2 sec
c] time of descent = time of ascent = u/g = 2 sec

Therefore, in one statement, A ball thrown with a velocity of 20 m/s reaches a maximum height of 20 meters in 2 seconds and returns back to the thrower 2 seconds later.

This question can be solved using the equations of motion as well.
b,c] v=u+at               
    0= 20 + 10t
20/10= t
      2 = t  
time of ascent and descent are equal.

a] s= ut-1/2at^2
      = 40-20
      =20 m

Community Answer
A ball is thrown with a velocity of 20m/s. Find a]the maximum height t...
Projectile Motion Problem


Given:


  • Initial velocity of the ball, u = 20m/s

  • Acceleration due to gravity, g = 9.8m/s^2



Calculations:


Maximum Height:

The maximum height is obtained when the vertical component of the velocity is zero. Using the equation:

v^2 = u^2 + 2gh

where v = final velocity, u = initial velocity, g = acceleration due to gravity, and h = maximum height

At maximum height, v = 0

Therefore, 0 = 20^2 - 2(9.8)h

h = 20.4m


Time to reach Maximum Height:

The time taken to reach maximum height can be calculated using the equation:

h = ut + 0.5gt^2

where t = time taken

At maximum height, the final vertical velocity is zero.

Therefore, 0 = 20 - 9.8t

t = 2.04s


Time to return to the Thrower:

The total time of flight can be calculated using the equation:

t = 2u/g

where t = time of flight

Substituting the given values, we get:

t = 2(20)/9.8

t = 4.08s


Answer:


  • The maximum height to which the ball rises is 20.4m.

  • The time it takes to reach the maximum height is 2.04s.

  • The time it takes to return back to the thrower is 4.08s.

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A ball is thrown with a velocity of 20m/s. Find a]the maximum height to which it risesb]the time it would take to reach maximum heightc]the time it would take to return back to thrower??
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