Explanation Given: The astronaut hits his golf shot on the moon with an initial speed of 35 m/s at angle of 30 ° . Calculation: Since the acceleration due to gravity is 1.6 m/s , the velocity vector can be written as v ( t ) = ∫ a ( t ) d t = 〈 0 , − 1.6 t 〉 + C 0 ........ (1) The ball was hit with speed of 35 m/s at an angle of 30 ° . So, it gives v ( 0 ) = 〈 35 cos θ , 35 sin θ 〉 . From (1), v ( 0 ) = 〈 0 , − 1.6 ⋅ 0 〉 + C 0 v ( 0 ) = 〈 0 , 0 〉 + C 0 v ( 0 ) = C 0 C 0 = 〈 35 cos θ , 35 sin θ 〉 Therefore, the equation (1) becomes, v ( t ) = 〈 0 , − 1.6 t 〉 + 〈 35 cos θ , 35 sin θ 〉 = 〈 35 cos θ , 35 sin θ − 1.6 t 〉 Then, r ( t ) = ∫ 〈 35 cos θ , 35 sin θ − 1.6 t 〉 = 〈 35 cos θ t + K 1 , 35 sin θ t − 0.8 t 2 + K 2 〉 At t = 0 , r ( t ) = 〈 0 , 0 〉

4th Edition

ISBN: 9781319279813

Author: Rogawski

Publisher: MAC HIGHER

See similar textbooks

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

Videos

Question

Chapter 13.5, Problem 21E

To determine

The distance travelled by the ball when the astronaut hits his golf shot on the moon with an initial speed of 35 m/s at angle of 30°.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.5, Problem 20E

Chapter 13.5, Problem 22E

Students have asked these similar questions

High-speed stroboscopic photographs show that the head of a 200-g golf club is traveling at 40 m/s just before it strikes a 46-g golf ball at rest on a tee. After the collision, the club head travels (in the same direction) at 30 m/s. Find the speed of the golf ball just after impact. m/s

A car travels in a straight line. It increases its speed from 22 m/s to 28 m/s with a constant acceleration of 0.8 m/s2. How far did it travel during this acceleration?

A shot putter threw an 8 lb 13 oz shot 71 ft, 8 in. Assuming the shot putter launched the shot at a 60° angle to the horizontal from 5.5 ft above the ground, what was the shot's initial speed? The acceleration due to gravity is 32 ft/sec². The shot's initial speed was vo = ft/sec.

Chapter 13 Solutions

CALCULUS:EARLY TRANS.-SAPLINGPLUS

Ch. 13.1 - Prob. 1PQ Ch. 13.1 - Prob. 2PQ Ch. 13.1 - Prob. 3PQ Ch. 13.1 - Prob. 4PQ Ch. 13.1 - Prob. 5PQ Ch. 13.1 - Prob. 6PQ Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

The distance travelled by the ball when the astronaut hits his golf shot on the moon with an initial speed of 35 m/s at angle of 30 ° .

Solution Summary: The astronaut hits his golf shot on the moon with an initial speed of 35 m/s at an angle of 30°. The velocity vector can be written as v(t)=langle

Concept explainers

Videos

The distance travelled by the ball when the astronaut hits his golf shot on the moon with an initial speed of 35 m/s at angle of 30°.

Want to see the full answer?

Chapter 13 Solutions