# UTA

An object is thrown downward with an initial
speed of 10 m/s from a height of 49 m above
the ground. At the same instant, a second
object is propelled vertically up from ground
level with a speed of 29 m/s .
At what height above the ground will the
two objects pass each other? The acceleration
of gravity is 9.8 m/s
2
.

1. 👍 0
2. 👎 0
3. 👁 869
1. First solve for the time when they are at the same height.

49 - 10 t - 4.9 t^2 = 29 t - 4.9 t^2

The t^2 terms cancel.
39t = 49
t = 1.2564 seconds

Then, use the height vs. time equation for either object for the vertical height at that time.

Y = 29t - 4.9 t^2 = 28.7 meters

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra

THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the

2. ### physics

An object with a mass of 5 kg is thrown with an initial velocity of 6 m/s. If the object has an initial height of 10 meters above the ground, what is the magnitude of the initial gravitational potential energy of the object? The

3. ### physics

A plane is flying horizontally at a height of 500 m and a constant speed of 429 km/h when an object is projected vertically downward at an initial speed of 35.0 m/s. If air resistance is neglected, the average vertical component

4. ### math

an object is thrown upward from the top of a 80-foot building with a initial velocity of 65 feet per second. The height h of the object after t seconds is given by the equation h=-16t2+64t+80. when will the object hit the ground

1. ### Physics

An object is thrown vertically and has an upward velocity of 18 m/s when it reaches one fourth of its maximum height above its launch point. What is the initial (launch) speed of the object?

2. ### Math

An object is thrown from the top of an 80 foot building with an initial velocity of 64 feet per second. The height (h) of the object after (t) seconds is given by the quadratic equation h=-16t+64t+80 .When will the object hit the

3. ### physics

A rock is thrown downward from an unknown height above the ground with an initial speed of 10m/s. It strikes the ground 3s later. Determine the initial height of the rock above the ground.

4. ### math

An object is thrown or fired straight upwards at an initial speed of v_0 ft⁄s will reach height h feet after t seconds, where h and t are related to the formula h=-16t^2+v_0 t Suppose the object is fired straight upwards with an

1. ### Physics

A rock is thrown downward from an unknown height above the ground with an initial speed of 28 m/s. It strikes the ground 4.4 s later. Determine the initial height of the rock above the ground. The acceleration of gravity is 9.8

2. ### phy

A blue ball is thrown upward with an initial speed of 20.6 m/s, from a height of 0.8 meters above the ground. 2.5 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 8.2 m/s from a height of

3. ### Physics

Q.1 A ball is thrown 233 m upward and then falls back to earth. Neglecting air resistance, how long will it be in the air? The acceleration of gravity is 9.8 m/s2 . Answer in units of s. Q.II An object is thrown downward with an

4. ### physics

A ball is thrown straight downward from the surface of the moon. Is the maximum height it reaches less than, equal to, or greater than the maximum height reached by a ball thrown upwards on the earth with the same initial speed?