The dart is thrown with a speed of 10 m/s. Suppose that s = 5.2 m. Part A Determine the longest possible time when the dart strikes the target. Express your answer to three significant figures and include the appropriate units. t = Part B What is the corresponding angle ea at which the dart should be thrown? Express your answer using three significant figures. Part C Determine the speed at which the dart strikes the target. Express your answer to three significant figures and include the appropriate units.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 35AP: A person going for a walk follows the path shown in Figure P3.35. The total trip consists of four...
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Part D
Determine the direction of the velocity OB at which the dart strikes the target.
Express your answer using three significant figures.
OB =
Transcribed Image Text:Part D Determine the direction of the velocity OB at which the dart strikes the target. Express your answer using three significant figures. OB =
The dart is thrown with a speed of 10 m/s. Suppose that s = 5.2 m .
B
Part A
Determine the longest possible time when the dart strikes the target.
Express your answer to three significant figures and include the appropriate units.
t =
Part B
What is the corresponding angle 0A at which the dart should be thrown?
Express your answer using three significant figures.
OA =
Part C
Determine the speed at which the dart strikes the target.
Express your answer to three significant figures and include the appropriate units.
VB =
Transcribed Image Text:The dart is thrown with a speed of 10 m/s. Suppose that s = 5.2 m . B Part A Determine the longest possible time when the dart strikes the target. Express your answer to three significant figures and include the appropriate units. t = Part B What is the corresponding angle 0A at which the dart should be thrown? Express your answer using three significant figures. OA = Part C Determine the speed at which the dart strikes the target. Express your answer to three significant figures and include the appropriate units. VB =
Expert Solution
Step 1

(a) Given ,

      Speed (u) = 10m/s

      Range of projectile (s) = 5.2 m

we know that,

Range (s) = u2 sin2θ / g

5.2 = (10)2 sin2θ / 9.81

sin 2θ = 5.2 x 9.81 / 100  = 0.51

2θ = sin-1 (0.51)

2θ = 30.66o

θA = 15.3o

(b) θA = 15.3o

Time of flight = T = 2u sinθ / g = 2 x 10 x 0.26 / 9.81

T = 0.4967 sec

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