Question

a ball is thrown vertically upward with a velocity of 30m/s calculate the time taken to reach maximum height

Answer 1

here we applied formula v=u+at
here v=0
u=30m/s
Acceleration= 10m/s or 9.8m/s
t=?
so
0=30+(-10t)
-10t=-30
t=30/10
which is 3 second
your answer is 3 second

Answer 2

Given:

• Initial velocity of ball is 30 m/s.
• Gravity (g) is 10 m/s².

To find:

• Time taken to reach maximum height?

Calculation:

As the ball is thrown vertically upwards, the final velocity of the ball at max height will be zero.

• Let the time taken be T :

Applying EQUATIONS OF KINEMATICS:

$\rm \therefore \: v = u + at$

$\rm \implies \:0 = u + ( - g)T$

$\rm \implies \:g T= u$

$\rm \implies \: T= \dfrac{ u }{g}$

$\rm \implies \: T= \dfrac{30}{10}$

$\rm \implies \: T=3 \: sec$

So, time taken to reach max height is 3 seconds.