Question

In: Physics

A projectile is launched vertically from a launch pad with an unknown initial velocity, V0. An...

A projectile is launched vertically from a launch pad with an unknown initial velocity, V0. An unknown time, T, later, an observer is in a pickup which is traveling in such a way that the angle of elevation to the projectile is 22° and increasing at 2° per second. When the pickup is 750 m away from the launch pad, it is moving away from the launch pad at 25 m/sec.

A) Find the initial velocity, V0.

B) Find the time, T, since launch.

C) Find the projectile’s maximum height.

D) Find the time until the projectile hits the ground again. Calculate all of these to 3 decimal places.

h(t) = -4.9t2 + V0 t , and that v(t) = h‘(t).

Solutions

Expert Solution


Related Solutions

A projectile is launched vertically from the surface of the Moon with an initial speed of...
A projectile is launched vertically from the surface of the Moon with an initial speed of 1290 m/s. At what altitude is the projectile's speed one-fifth its initial value?
A projectile of mass m = 5kg is thrown upward vertically with a velocity v0 =...
A projectile of mass m = 5kg is thrown upward vertically with a velocity v0 = 9 m/s a) Starting with Newton's 2nd Law FNet = ma, calculate the time to an accuracy of four decimal places at which the maximum height is reached when no air resistance is present. b) Starting with Newton's 2nd Law FNet = ma, calculate the time to an accuracy of four decimal places at which the maximum height is reached when considering the following...
A projectile is launched horizontally with an initial speed of v0 = 38.5 m/s at the...
A projectile is launched horizontally with an initial speed of v0 = 38.5 m/s at the top of a cliff in a lake (h = 80 m) What is the speed of the projectile when its height from the water is y = 30 m?
1) A projectile is launched from the floor with an initial velocity of 5.0 m/s at...
1) A projectile is launched from the floor with an initial velocity of 5.0 m/s at an angle of 30 degrees upward of horizontal. a) For how long is the projectile in the air, as measured by the observer who launches the projectile? b) How far away horizontally from the launch point does the projectile land, as measured by the observer who launched it? c) It turns out that this projectile was launched and landed inside of a vehicle that...
If a projectile is fired with an initial velocity v0 meters per second at an angle...
If a projectile is fired with an initial velocity v0 meters per second at an angle α above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x=(v0 cos α)t     &     y=(v0 sin α) t-1/2gt2   Suppose α=30o and v0=500 m/s (a) At what time t does the projectile hit the ground? (b) How far does the projectile travel from the time it is fired until the time...
A 30 kg projectile is launched from the ground at an initial velocity of 300 m/s...
A 30 kg projectile is launched from the ground at an initial velocity of 300 m/s at an angle of 45 degrees above the horizontal. If air resistance is ignored, determine the following: a. The projectile's speed at 2000 meters above the ground. b. The total amount of energy the object has at 3000 m. c. The maximum height of the projectile. d. The maximum distance the projectile travels horizontally.
You will now calculate the initial velocity, v0 , required to launch a ball to a...
You will now calculate the initial velocity, v0 , required to launch a ball to a horizontal distance, d , if the ball is launched purely horizontally from a height h above the top of the table. First draw a diagram of the situation. Clearly label h , d , v0 , and the point you select as your origin. Use 1-D kinematics to determine the time it would take the ball to fall if you simply released it from...
A projectile is launched with an initial velocity vo at an angle theta above the horizontal....
A projectile is launched with an initial velocity vo at an angle theta above the horizontal. In terms of vo, theta and acceleration due to gravity g, determine for the projectile i) the time to reach its maximum height and ii) its maximum height.
An object is launched with an initial velocity of 50.0 m/s at a launch angle of...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of 36.9∘ above the horizontal. Determine x-values at each 1 s from t = 0 s to t = 6 s. Determine y-values at each 1 s from t = 0 s to t = 6 s. Determine vx-values at each 1 s from t = 0 s to t = 6 s. Determine vy-values at each 1 s from t = 0 s to...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of 36.9? above the horizontal. A.Determine x-values at each 1 s from t = 0 s to t = 6 s. B.Determine y-values at each 1 s from t = 0 s to t = 6 s. C.Determine vx-values at each 1 s from t = 0 s to t = 6 s. D.Determine vy-values at each 1 s from t = 0 s to...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT