Question

A ball is thrown vertically upward with an initial speed of 20m/s. What is the maximum height reached and how long does it take to return to the point it was thrown

Answer 1

Question

A ball is thrown vertically upward with an initial speed of 20m/s. What is the maximum height reached and how long will it take to return to the point it was thrown?

Answer

From the Question,

• Initial Velocity (u) = 20 m/s

• Acceleration (g) = - 10 m/s²

At the maximum height, velocity of the ball will be zero » v = 0 m/s

Using the Relation,

$\large{ \boxed{ \boxed{ \blue{ \sf{ {v}^{2} - {u}^{2} = 2as}}}}}$

Putting the values,we get :

$\large{ \sf{ {0}^{2} - {20}^{2} = - 2(10)s }} \\ \\ \large{ \leadsto \: \sf{400 = 20s}} \\ \\ \large{ \leadsto \: \boxed{ \boxed{ \sf{ \green{s = 20 \: m}}}}}$

Maximum Height the object can reach is 20 m

From,

$\large{ \boxed{ \boxed{ \sf{ \blue{v = u + at}}}}}$

Putting the values,we get :

$\large{ \sf{0 - 20 = - 10t}} \\ \\ \large{ \leadsto \: \boxed{ \boxed{ \green{\sf{t = 2s}}}}}$

The ball will take 2 seconds to reach 20m