# Physics

posted by .

how to find the max height of a cat that is thrown at 9.8 m/s and is in the air for a total of 4 seconds.

• Physics -

If thrown from height h=0,
h(t) = 9.8t - 4.9t^2
this is a parabola with vertex where t=1.
So, plug that in to get h(1)

Now, you say the cat flew for 4 seconds. So, the cat must have been thrown from some height H. So,

h(t) = H + 9.8t - 4.9t^2
has a root at t=4. So,

h(4) = 0 means
9.8(4) - 4.9(16) + H = 0
H = 39.2

So, add 39.2 to h(1) as indicated above.

## Similar Questions

1. ### math

A rock is thrown vertically up from the ground with a velocity of 24 meters per second, and it reaches a height of 2+24t-4.9tsquare after t secounds. A. How many seconds after the rock is thrown will it reach its maximum height?
2. ### Math( help please ! )

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) …
3. ### algebra

When a ball is thrown in the air, the height h of a ball in feet t seconds after the ball is thrown in the air, is given by the equation height = 25t–16t² Use the quadratic equation to determine how many seconds goes by before the …
4. ### algebra

When a ball is thrown in the air, the height h of a ball in feet t seconds after the ball is thrown in the air, is given by the equation height = 25t–16t² Use the quadratic equation to determine how many seconds goes by before the …
5. ### math HELP

When a ball is thrown in the air, the height h of a ball in feet t seconds after the ball is thrown in the air, is given by the equation height = 25t–16t² Use the quadratic equation to determine how many seconds goes by before the …
6. ### Physics

A baseball is thrown straight up, reaches a height of 4.9 m, and is caught at the point it was thrown from. The ball was in the air for a total of how many seconds?
7. ### Pre-Calc

ball thrown vertically upward with an initial velocity of 80 ft per second. The distance s(in ft) of the ball from the ground after t seconds is s=80t-16t^2. a. draw the illustration. b. for what time interval is ball more than 96 …
8. ### Calculus

1.if a ball is thrown into the air with a velocity of 35ft/s, it's height in feet after t seconds is given by y=35t-10t^2. Find the averag velocity for the time period beginning when t=4 and lasting 0.05s. 2.if a ball is thrown into …
9. ### physics

A ball of mass 80g is thrown vertically upwards with a velocity of 20m/s calculate 1)the max height, from the height which the ball is thrown 2) the total time of flight from the point it is released and caught at the same point.(assume …
10. ### physics

A ball is thrown vertically upwards with a velocity of 2 m/s. It is seen at height h twice. Find the sum of the times, measured in seconds from the moment the ball is thrown, at which it is seen at height h. Take g=10m/s² Neglect …

More Similar Questions