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A ball is thrown vertically upwards from the ground with an initial velocity of 50m/s. What is the total time by the ball to get its maximum height? (take g=10)
A. 500s
B. 50s
C. 5s
D. 0.5s​

Respuesta :

Explanation:

initial velocity (u) = 50m/s

final velocity (v) = 0m/s

i.e the ball stops for a while at its maximum height.

g = 10m/s^2

from the 1st equation of vertical upward motion:

v = u - gt

hence t = (v + u)/t

t = (0 + 50)/10

t = 50/10 = 5s.

C. 5s.

Answer:

c

Explanation:

(a) Initial velocity of ball (u)=50m/s, acceleration of ball =−g,

final velocity at the highest point (v)=0

So applying the 3rd equation of motion we get:

v  

2

=u  

2

−2gh  

max

​  

 

⇒0=50  

2

−2×10×h  

max

​  

 

⇒h  

max

​  

=  

20

2500

​  

=125m

(b) Let the time required to reach max height be t. Then applying 1st equation of motion we get:

v=u−gt

⇒0=50−10t

⇒t=5s

(c) Let speed at half of max height be V then:

V  

2

=50  

2

−2g  

2

125

​  

 

⇒V  

2

=2500−1250=1250

⇒V=  

1250

​  

=35.35m/s.