If a body is thrown straight upwards with an initial velocity of 40 m/s, how long would it take to reach its maximum height? (Use g = 10 m/s/s for a falling body.)
a.) 400 s
b.) .25 s
c.) 4 s
d.) 40 s
V = Vo + g*t = 0.
40 + (-10) t = 0,
To find the time it takes for the body to reach its maximum height, we can use the equation of motion:
v = u + gt
Where:
- v is the final velocity (0 m/s at the maximum height)
- u is the initial velocity (40 m/s)
- g is the acceleration due to gravity (-10 m/s^2 since the body is thrown upwards)
Setting v = 0, we have:
0 = 40 - 10t
Solving for t:
10t = 40
t = 40 / 10
t = 4 seconds
Therefore, the correct answer is c.) 4 s