Answer:
h = 61.25 m
Step-by-step explanation:
It is given that,
The initial velocity of the ball, v = 60 m/s
It is thrown from a height of 5 feet,
We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :
Putting all the values,
.....(1)
For maximum height, put
Put t = 1.875 in equation (1)
So, the maximum height reached by the ball is 61.25 m.
Answer:
Step-by-step explanation:
The equation that will model this situation will be of the form
where is the time in hours john has traveled since the gas station, and
is the distance.
Now we know that John has already traveled 20 miles when he is at the gas station, this means at ,
; or
Thus we have
.
Now we need to figure out
When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have
Now we have the full equation: