A baseball has a velocity of 40.0 m/s (89.5 mi/h), directed horizontally, as it is released...

A baseball has a velocity of 40.0 m/s (89.5 mi/h), directed horizontally, as it is released by a pitcher. The ball's velocity 0.0100 s before it is released is 38.1 m/s, directed 4.00° above the horizontal. Calculate the ball's instantaneous acceleration just before it is released.

Magnitude?

Direction___ west of south?

Expert Solution

Given

velocity of baseball v = 40.0 m/s directed horizontally

before 0.01 s , the ball velocity is 38.1 m/s , directed with an angle 4 degrees with horizontal

writing the vector form of velocity before 0.01 s , is

V = 38.1 cos4 i + 38.1 sin4 j

= 38.007 i + 2.658 j

now change in velocity is = (40-38.007)i + (0-2.658)j

= 1.993 i - 2.658 j

and the acceleration is A = 1.993/0.01 i -2.658 /0.01 j
A=199.3 i - 265.8 j

the magnitude of the acceleration is = sqrt(199.3^2+(-265.8)^2) m/s2 = 332.22 m/s2

the direction is theta = arc tan (-265.8/199.3)

theta = -53.13 degrees
which is west of south.

genius_generous answered 2 years ago

A plane flying horizontally at an altitude of 5 mi and a speed of 470 mi/h...

A plane flying horizontally at an altitude of 5 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 7 mi away from the station. For full credit I expect to see a well-labeled picture. Show all work. Round your final answer to the nearest whole number. Do not round intermediate values. Include units of measure in your answer.

A plane flying horizontally at an altitude of 2 mi and a speed of 510 mi/h...

A plane flying horizontally at an altitude of 2 mi and a speed of 510 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 3mi away from the station. (Round your answer to the nearest whole number.)

An airplane flying in the air with a constant velocity of 240 m/s horizontally experiences a...

An airplane flying in the air with a constant velocity of 240 m/s horizontally experiences a force due to gravity, directed downwards with a magnitude of 4×10^6 N, and a force generated by the engines, directed forwards with a magnitude of 3 × 10^6 N. a. In light of Newton’s first law, why must there be a third force acting on the airplane? Calculate the magnitude of this third force, and explain its physical origin. Draw this third force on...

A 4.00 g bullet is moving horizontally with a velocity of +355 m/s as shown in...

A 4.00 g bullet is moving horizontally with a velocity of +355 m/s as shown in figure below. The bullet is approaching two blocks resting on a horizontal frictionless surface. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as shown in part (b). Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1150 g and its velocity is +0.550 m/s...

A girl throws a rock horizontally, with a velocity of 10 m/s, from a bridge. It...

A girl throws a rock horizontally, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. a) How long does it take for the rock to reach the water? b) How far does the rock travel horizontally before striking the water, assuming negligible air resistance? c) what is the final horizontal velocity of the ball ? d)What is the final vertical velocity of the ball? e) the magnitude of the final velocity of...

A 5.17-g bullet is moving horizontally with a velocity of +369 m/s, where the sign +...

A 5.17-g bullet is moving horizontally with a velocity of +369 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the...

A 4.80-g bullet is moving horizontally with a velocity of +357 m/s, where the sign +...

A 4.80-g bullet is moving horizontally with a velocity of +357 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the...

Let's say that the dart is launched with initial velocity components of 28.0 m/s horizontally and...

Let's say that the dart is launched with initial velocity components of 28.0 m/s horizontally and 6.72 m/s vertically. Imagine that this is taking place on a planet where the acceleration due to gravity is g = 9.00 m/s, and neglect air resistance. What is the distance between the dart and the monkey at the instant the dart passes directly below the monkey? Note that the simulation shows that the monkey starts 40 m higher, and 100 m horizontally, from...

A 5.87-g bullet is moving horizontally with a velocity of +348 m/s, where the sign +...

A 5.87-g bullet is moving horizontally with a velocity of +348 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the...

A) A car travels at a constant speed of 32.5 mi/h (14.5 m/s) on a level...

A) A car travels at a constant speed of 32.5 mi/h (14.5 m/s) on a level circular turn of radius 49.0 m, as shown in the bird's-eye view in figure a. What minimum coefficient of static friction, μs, between the tires and the roadway will allow the car to make the circular turn without sliding? B) At what maximum speed can a car negotiate a turn on a wet road with coefficient of static friction 0.215without sliding out of control?...

Question