Question

A 2.0 kg ball is thrown upward with an initial speed of 24.0 m/s from the...

A 2.0 kg ball is thrown upward with an initial speed of 24.0 m/s from the edge of a 46.0 m high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 5.80 m/s. The woman runs in a straight line on level ground. Ignore air resistance on the ball. How far does she run before she catches the ball? (Your result must be in units of meters and include one digit after the decimal point. Maximum of 3% of error is accepted in your answer. Take g=9.80 m/s2.)

Homework Answers

Answer #1

answer) from the question and by applying law of kinematics the condition at which she catches the ball is

horizontal speed ( in x direction)=woman's speed

v1=v2cos

=cos-1(v1/v2)=cos-1(5.80/24.0)=76o

now applying projectile range formula we have

R=v2cos/g*(v2sin+(v2sin)2-2gyR=24*cos76/9.8*(24*sin76+(24sin76)2+2*9.8*46 m)=36.3 m

so answer is 36.3 m

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 2.0 kg ball is thrown upward with an initial speed of 21.0 m/s from the...
A 2.0 kg ball is thrown upward with an initial speed of 21.0 m/s from the edge of a 48.0 m high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 5.80 m/s. The woman runs in a straight line on level ground. Ignore air resistance on the ball. How far does she run before she catches the ball? (Your result must be in units...
A blue ball is thrown upward with an initial speed of 21.4 m/s, from a height...
A blue ball is thrown upward with an initial speed of 21.4 m/s, from a height of 0.9 meters above the ground. 2.6 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 9.2 m/s from a height of 25.3 meters above the ground. The force of gravity due to the earth results in the balls each having a constant downward acceleration of 9.81 m/s2. 1) How long after the blue ball...
A blue ball is thrown upward with an initial speed of 21.2 m/s, from a height...
A blue ball is thrown upward with an initial speed of 21.2 m/s, from a height of 0.5 meters above the ground. 2.6 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 11.7 m/s from a height of 25.7 meters above the ground. The force of gravity due to the earth results in the balls each having a constant downward acceleration of 9.81 m/s2. A) What is the speed of the...
A particle is thrown upward with an initial speed of 10 m/s from the edge of...
A particle is thrown upward with an initial speed of 10 m/s from the edge of a cliff. How many seconds later will it strike the ground 60 m below its starting point? please explain all steps
A ball is thrown vertically upward from the edge of a cliff, with an upward velocity...
A ball is thrown vertically upward from the edge of a cliff, with an upward velocity of 20 m/s. On its way back down, it just misses the end of the cliff. (a) Find the position and velocity of the ball 1 s and 4 s after it is thrown; (b) Find the velocity of the ball when it is 5 m above the flat surface of the cliff. Write the magnitude of the velocity in the Answer box below...
URGENT A ball is thrown vertically upward from the edge of a cliff, with an upward...
URGENT A ball is thrown vertically upward from the edge of a cliff, with an upward velocity of 20 m/s. On its way back down, it just misses the end of the cliff. (a) Find the position and velocity of the ball 1 s and 4 s after it is thrown; (b) Find the velocity of the ball when it is 5 m above the flat surface of the cliff. Write the magnitude of the velocity in the Answer box...
A ball with mass m kg is thrown upward with initial velocity 16 m/s from the...
A ball with mass m kg is thrown upward with initial velocity 16 m/s from the roof of a building 28 m high. Neglect air resistance. Use 9.8 m/s2. Round your answers to one decimal place. (a) Find the maximum height above the ground that the ball reaches. meters (b) Assuming that the ball misses the building on the way down, find the time that it hits the ground.
A stone is thrown vertically upward with a speed of 15.0 m/s from the edge of...
A stone is thrown vertically upward with a speed of 15.0 m/s from the edge of a cliff 75.0 m high.How much later does it reach the bottom of the cliff?What is its speed just before hitting?What total distance did it travel?
A ball is thrown toward a cliff of height h with a speed of 33 m/s...
A ball is thrown toward a cliff of height h with a speed of 33 m/s and an angle of 60 ? above horizontal. It lands on the edge of the cliff 3.7 s later. How high is the cliff? What was the maximum height of the ball? What is the ball's impact speed?
rock thrown upward with an initial speed of 24.5 m/s from the top of a 50m...
rock thrown upward with an initial speed of 24.5 m/s from the top of a 50m tower. a. what's the rockets velocity the instant it hits the ground? b. how long is it in the air? c. what's the max height above the building the ball reaches?