The height of a ball thrown vertically upward from a rooftop is modelled by y=-5t^2+20t+50 , where h(t) is the ball's height above the ground , in meters , at time t seconds after the throw a) Determine the max height of the ball b) how long does it tak

Question

Question

The height of a ball thrown vertically upward from a rooftop is modelled by y=-5t^2+20t+50 , where h(t) is the ball's height above the ground , in meters , at time t seconds after the throw a) Determine the max height of the ball b) how long does it tak

The height of a ball thrown vertically upward from a rooftop is modelled by y=-5t^2+20t+50 , where h(t) is the ball's height above the ground , in meters , at time t seconds after the throw

a) Determine the max height of the ball

b) how long does it take for the ball to reach its max height

c) How high is the rooftop

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

y = 5(10 + 4t - t^2)

max height achieved where t = -b/2a = 2
y(2) = -5(4) + 20(2) + 50 = 70

as above, when t=2

The rooftop is the ball's initial height. That is, when t=0. So, 50 ft.

answered by: olol

Add a comment

Answer 2

Answer #2

thank you so much

answered by: Michelle Lawson

Add a comment

Answer 3

The height of a ball thrown vertically upward from a rooftop is modelled by y=-5t^2+20t+50 , where h(t) is the ball's height above the ground , in meters , at time t seconds after the throw a) Determine the max height of the ball b) how long does it tak

Homework Answers

Add Answer to:
The height of a ball thrown vertically upward from a rooftop is modelled by y=-5t^2+20t+50 , where h(t) is the ball's height above the ground , in meters , at time t seconds after the throw a) Determine the max height of the ball b) how long does it tak

Post as a guest

Earn Coins

A ball is thrown vertically upward. After t seconds, its height h (in feet) is given...

If a ball is thrown upward from a building 30 m tall and the ball has a vertical velocity of 25 m/s, then its approximate height above the ground t seconds later is given by h(t) = 30 + 25t - 5t^2 a

A ball is thrown vertically upward. After seconds, its height h (in feet) is given by...

5. A pebble falls from the top of a cliff that is 180 m high. The pebble's height above the ground is modelled by h(t) -5t-5t+180 where h is the height in metres at t seconds since the pebble...

A ball is thrown from a rooftop with an initial downward velocity of magnitude v0 = 1.1 m/s. The rooftop is a distance above the ground, h = 46 m.

A ball is thrown from the ground onto a roof of height yroof 16 m from...

height of helicopter above ground is given as h = 3t^3, where h is in meters and t is in seconds

A blue ball is thrown upward with an initial speed of 22.8 m/s, from a height...

A projectile is thrown upward so that its distance above the ground after t seconds is...

Two throw A blue ball is thrown upward with an initial speed of 22.2 m/s, from...

The height of a ball thrown vertically upward from a rooftop is modelled by y=-5t^2+20t+50 , where h(t) is the ball's height above the ground , in meters , at time t seconds after the throw a) Determine the max height of the ball b) how long does it tak

Homework Answers

Add Answer to: The height of a ball thrown vertically upward from a rooftop is modelled by y=-5t^2+20t+50 , where h(t) is the ball's height above the ground , in meters , at time t seconds after the throw a) Determine the max height of the ball b) how long does it tak

Post as a guest

Earn Coins

Add Answer to:
The height of a ball thrown vertically upward from a rooftop is modelled by y=-5t^2+20t+50 , where h(t) is the ball's height above the ground , in meters , at time t seconds after the throw a) Determine the max height of the ball b) how long does it tak