# physics

posted by .

A ball of mass 8 kg is thrown vertically upward from the ground , with an initially velocity of 25 m/s. Determine the maximum height to which it will travel if atmospheric resistance is neglected.

• physics -

h = 25t-4.9t^2
max height at t = 25/9.8 = 2.55
h(2.55) = 25*2.55 - 4.9*2.55^2 = 31.89m

## Similar Questions

1. ### math/physics

a ball with mass 0.15 kg is thrown upward with initial velocity 20 m/sec from the roof of a building 30 m high. there is a force due to air resistance of |v|/30, where velocity v is measured in m/sec. a. find the maximum height above …
2. ### calculus

If a ball is thrown vertically upward from the roof of 64 foot building with a velocity of 64 ft/sec, its height after t seconds is s(t)=64+64t–16t2 . What is the maximum height the ball reaches?
3. ### Calculus

If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 112 ft/sec, its height after t seconds is s(t)=32+112t–16t2 . What is the maximum height the ball reaches?
4. ### calculas

If a ball is thrown vertically upward from the roof of 48 foot building with a velocity of 80 ft/sec, its height after t seconds is s(t)=48+80t–16t2. What is the maximum height the ball reaches?
5. ### Dynamics

A ball of mass 8 kg is thrown vertically upward from the ground , with an initially velocity of 25 m/s. Determine the maximum height to which it will travel if atmospheric resistance is neglected.
6. ### dynamics

A ball of mass 8 kg is thrown vertically upward from the ground, with an initially velocity of 25 m/s. determine the maximum height to which it will travel if atmospheric resistance is neglected.
7. ### dynamics

a ball of mass 8 kg is thrown vertically upward from the ground, with an initially velocity of 25 m/s. Determine the maximum height to which it will travel if atmospheric resistance is neglected
8. ### College Calculus

If a ball is thrown vertically upward from the roof of 48 foot building with a velocity of 96 ft/sec, its height after t seconds is s(t)=48+96t−16t^2. What is the maximum height the ball reaches?
9. ### Algebra

A ball is thrown vertically upward from the ground with an initial velocity of 103 ft per sec. Determine what the maximum height will be
10. ### Calculus

a projectile is fired vertically upward from ground level with a velocity of 1600 ft/sec. If air resistance is neglected, find its distance s(t) above ground at time t. What is its maximum height?

More Similar Questions