a ball is thrown vertically upwards from the top of a cliff of 21.21m with an initial velocity 11m/s. Taking g to be 9.8 m/s^2 .i) calculate the height to which it will reach before heading to the ground .ii) the velocity with which it will reach the ground. iii) the total time of the journey
Answers
Answer:
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Explanation:
29.4
Answer: i)6.173m ii)23.156m/s iii)3.48s
Explanation:
maximum height means v=0, taking g as negative when ball is going upwards
v²-u²= -2gh
-11²=. -2*9.8*h
i)121/19.6= hmax=6.173m
total height before reaching ground= 21.21 + 6.17 = 27.38m, Case 2
g is positive since now ball is moving downwards
u i.e initial velocity = 0 ,since it is at hmax
v²-u²=.2gh
v²=.√2*g*h
ii)v= final velocity= √2*9.8 *2727.38 = 23.156m/
total time= time to reach h max + time to reach the
time to reach hmax
g will be negative since going upwards
=> v=u-gt
0= 11-9.8×t.
11/9.8 = t
time to reach ground
g will be positive since motion is downwards
u will be 0 since we are returning from hmax
=> v=u+gt
23.156= 9.8*t
t= 23.156/ 9.8
iii)total time=(2.3.156+ 11)/9.8= 3.48s