A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=−16t2+v0t. Find the time(s) that the projectile will (a) reach a height of 240 ft and (b) return to the ground when v0=128 feet per second. (a) Find the time(s) that the projectile will reach a height of 240 ft when v0=128 feet per second.

A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=−16t2+v0t. Find the time(s) that the projectile will (a) reach a height of 240 ft and (b) return to the ground when v0=128 feet per second. (a) Find the time(s) that the projectile will reach a height of 240 ft when v0=128 feet per second.

Name: A projectile is launched from ground level with an initial velocity of
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=−16t2+v0t. Find the time(s) that the projectile will (a) reach a height o

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 28P: In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a...

See similar textbooks

Similar questions

For a water balloon launched from a 4949-meter overlook with an initial vertical velocity of 24.524.5 meters per second, the height hh in meters as a function of time tt in seconds is h=−4.9t2+24.5t+49h=−4.9t2+24.5t+49. When will the balloon land and burst?
A rifle is capable of shooting a bullet to an initial speed of 200m/s, if it is shot 60degrees upward, what is the maximum range? Neglect air resistance and consider gravity is constant 9.81m/s^2. a. 3352.1 b. 3531.2 c. 5132.3 d. 5331.2
In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a warm TV set. Ignoring air resistance, calculate the position and velocity of the cat after (a) 0.100 s, (b) 0.200 s, and (c) 0.300 s.
A student in Physics 211 decides to do an experiment. They travel to a city and climb to the roof of a building that is 3.0 x 102 m tall. Then, at the same instant, they drop one rock while a second rock is thrown downward with an initial speed of 16 m/s. Assume both rocks experience negligible air resistance while falling. How much EARLIER does the thrown rock strike the ground? A) 1.1 s B) 1.5 s C) 1.4 s D) they land exactly at the same time
A baseball, hit 5.5 feet above the ground, leaves the bat at an angle of 35°35° and is caught by an outfielder 5.5 feet above the ground and 67 feet from home plate. Neglecting air resistance, what was the initial speed of the ball?Your answer should be in feet per second, but do not enter the units in the answerbox.v0=
A projectile shot upward from a point 100 feet above sea level with an initial velocity of 160 ft/sec has a position function (neglecting air resistance) given by s(t) = -16t^2 + 160t + 100 Find its average velocity during the first 3 seconds of flight (t=0 to t=3). Find its instantaneous velocity at t=4 seconds.
A rocket is launched to travel vertically upward with a constant velocity of 20 m/s. After travelling for 35 seconds, the rocket develops a snag and its fuel supply is cut off. The rocket then travels like a free body. The height achieved by it is: A) 680 m B) 720 m C) 800 m D) 700 m
An object is shot upwards from ground level with an initial velocity of 3 meters per second; its subject only to the force of gravity (no air resistamce). Find its maximum altitude and the time at which it hits the ground (g = 32fps^2 = 9.8mps^2) Choices: A) 1.184 meters, 0.61224 sec B) 0.4592 meter, 3.267 sec C) 0.9184 meter, 0.61224 sec D) 0.4592 meter, 0.61124 sec
A projectile is launched 35 degrees at a speed of 18 m/s, neglecting air resistance. At what speed and angle will it return to its original level? Why?
tanya has an experiment where she is evaluating the data of her ramp experiment where she is asked to slide a tennis ball down a ramp with 5 different angles. Using the table down below Ramp angle in degrees Distance (in m) time 1 (s) time 2 (s) time 3 (s) T-avg Velocity(m/s) 20 1.7 2.4 2.2 2.3 2.3 1.47 30 1.5 2 1.9 2.1 2 1.5 45 2 3 2.8 2.9 2.9 1.38 60 1.8 2.6 2.5 2.7 2.6 1.38 70 1.9 2.7 2.9 3 2.87 1.32 The variables can be used to express Gravitational Potential Energy: (Egp) and Kinetic Energy: (Ek) mathematically as shown below: For the object rolling down the ramp as shown in the drawing down below, what type of energy is present at point (1)? Explain. Point 2 is in the middle between 1 and 3. What type of energy is present at point (3)? Explain. Assuming that energy is conserved, you can develop an equation for the speed of the object at point (3) (i.e. v3).…
At what speed does a meteorite, whose speed is very small while it's far away from the Moon, fly to the Moon? (The solution is 2.37 km/s)
A spacecraft is observed to be at a location < 200 , 300 , -400 > m relative to an origin located on a nearby asteroid, and 5 seconds later is observed to be at location < 340 , 80 , -540 > m. (a) What is the average velocity of the spacecraft during this interval?v→avg = m/s (b) What is the average speed of the spacecraft during this period?|v→avg|= m/s (c) What is the unit vector in the direction of the average velocity?v^=