Problem 2D Ch. 27

NAME ______________________________________ DATE _______________ CLASS ____________________

Holt Physics

Problem 2DVELOCITY AND DISPLACEMENT WITH UNIFORM ACCELERATION

P R O B L E MA barge relocating through a speed of 1.00 m/s increases rate uniformly, sothat in 30.0 s it has traveled 60.2 m. What is the magnitude of the bargesacceleration?

S O L U T I O N

Given: vi = 1.00 m/st = 30.0 sx = 60.2 m

Unknown: a = ?

Use the equation for displaement with continuous unidevelop acceleration.

You watching: Holt physics problem 2d

x = vit + 12

at2

Reararray the equation to fix for a.

12

at2 = x vit

a = 2(x

t2

vit)

a =

a =

a = 9

(

.

2

0

)

0

(3

0

1

.2

02m

s

)2

a = 6.71 102 m/s2

(2)(60.2 m 30.0 m)

9.00 102 s2

(2)<60.2 m (1.00 m/s)(30.0 s)>

(30.0 s)2

Cop

yrig

ht

by H

olt,

Rin

ehar

t and

Win

ston

.All

right

s re

serv

ed.

See more: Single Variable Calculus Early Transcendentals 2Nd Edition Pdf

ADDITIONAL PRACTICE

1. The trip speed of a little bottle rocket can vary significantly, depending onhow well its powder burns. Suppose a rocket is launched from remainder so that

it travels 12.4 m upward in 2.0 s. What is the rockets net acceleration?

2. The shark deserve to acceleprice to a rate of 32.0 km/h in a couple of secs. As-sume that it takes a shark 1.5 s to accelerate uniformly from 2.8 km/h to

32.0 km/h. What is the magnitude of the sharks acceleration?

3. In order for the Wideal brothers 1903 flyer to reach launch speed, it hadto be sped up uniformly along a track that was 18.3 m long. A system

of pulleys and also falling weights gave the acceleration. If the flyer was

initially at remainder and it took 2.74 s for the flyer to take a trip the size of the

track, what was the magnitude of its acceleration?

Holt Physics Problem BankCh. 28

NAME ______________________________________ DATE _______________ CLASS ____________________

Cop

yrig

ht

by H

olt,

Rin

ehar

t and

Win

ston

.All

right

s re

serv

ed.

4. A specific roller coaster increases the speed of its cars as it raises them tothe top of the incline. Suppose the cars move at 2.3 m/s at the base of

the incline and also are relocating at 46.7 m/s at the height of the incline. What is

the magnitude of the net acceleration if it is uniform acceleration and

takes location in 7.0 s?

5. A ship with an initial rate of 6.23 m/s approaches a dock that is 255 maway. If the ship speeds up uniformly and comes to remainder in 82 s, what is

its acceleration?

6. Although tigers are not the fastest of predators, they can still reach andbriefly keep a rate of 55 km/h. Assume that a tiger takes 4.1 s to

reach this speed from an initial speed of 11 km/h. What is the magni-

tude of the tigers acceleration, assuming it increases uniformly?

7. Assume that a catcher in a professional basesphere game catches a sphere thathas actually been pitched through an initial velocity of 42.0 m/s to the southeastern. If

the catcher uniformly brings the round to remainder in 0.0090 s through a dis-

tance of 0.020 m to the southeast, what is the balls acceleration?

8. A cprice is brought by a conveyor belt to a loading dock. The belt speeduniformly increases slightly, so that for 28.0 s the crate accelerates by

0.035 m/s2. If the cprices initial rate is 0.76 m/s, what is its last speed?

9. A plane founding at remainder at the southern finish of a runmeans undergoes a uni-develop acceleration of 1.60 m/s2 to the north. At takeoff, the planes ve-

locity is 72.0 m/s to the north.

a. What is the moment forced for takeoff?b. How much does the airplane travel alengthy the runway?

10. A cross-nation skier with an initial forward velocity of +4.42 m/s ac-celeprices uniformly at 0.75 m/s2.

a. How lengthy does it take the skier to come to a stop?b. What is the skiers displacement in this time interval?