A ball is thrown vertically upwards from the ground with a speed of 25.2m/s. How long does it take to reach its highest point?
(A)2.75s (B)25.7s (C)2.57s (D)27.5s
Answers
Answered by
2
Given :-
- Initial velocity (u) = 25.5 m/s
- Final velocity (v) = 0 m/s ( the velocity of the ball at the highest point is 0 )
- Acceleration due to gravity (g) = - 9.8 m/s ² ( As the ball is moving against gravity )
To find :-
- Time taken to reach to reach highest point
How to solve :-
- As the ball is moving with uniform acceleration throughout it's motion we can apply the first equation of motion in order to find time
Solution :-
As per the first equation of motion ,
⇒ v = u + gt
On rearranging ,
⇒ t = v - u / g
⇒ t = 0 - 25.2 / - 9.8
⇒ t = 25.2 / 9.8
⇒ t = 2.57 s
The time taken by the ball to reach the highest point is 2.57 s
Other formulas :-
Second equation of motion ,
⇒ s = ut + at²/ 2
Third equation of motion ,
⇒ v² = u² + 2as
Distance covered by the body in n th second ,
⇒ Sn = u + a(2n -1 ) / 2
Similar questions