(a) Explanation Given information: The constant speed ( v B ) 0 of car B is 60 mi/h . The cars pass each other at position ( x A ) is 294 ft . The speed of the car A ( v A ) is equal to car B ( v B ) . The deceleration ( a B ) of car B is − a A 6 . Calculation: Write equation for velocity of car A ( v A ) when t ≥ 0 : v A = ( v A ) 0 + a A t Here, ( v A ) 0 is initial velocity of car A , a A is acceleration of car A and t is time. Substitute 0 for ( v A ) 0 . v A = 0 + a A t = a A t (1). Write equation for position of car A ( x A ) when t ≥ 0 : x A = ( x A ) 0 + ( v A ) 0 t + 1 2 a A t 2 Here, ( x A ) 0 is initial position of car A . Substitute 0 for ( x A ) 0 , 294 ft for x A and 0 for ( v A ) 0 . 294 = 0 + ( 0 t ) + 1 2 a A t 2 294 = 1 2 a A t 2 (2). Calculate the position ( x B ) car B when ( t ) is 5sec: x B = ( x B ) 0 + ( v B ) 0 t Substitute 0 for ( x B ) 0 , 60 mi/h for ( v B ) 0 , and 5 sec for t . x B = 0 + ( 60mi/h × 1 (b) To determine When ( t A B ) the vehicle pass each other. (c) To determine The distance ( d ) between the vehicles at time ( t ) is zero.

Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9780073398242

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 11.2, Problem 11.46P

(a)

To determine

The acceleration (aA).

(b)

To determine

When (tAB) the vehicle pass each other.

(c)

To determine

The distance (d) between the vehicles at time (t) is zero.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.2, Problem 11.45P

Chapter 11.2, Problem 11.47P

Students have asked these similar questions

Q1) Two automobiles A and B are approaching each other in adjacent highway lanes. At t = 0, A and B are 1 km apart, their speeds are va = 108 km/h and vg = 63 km/h, and they are at points P and Q, respectively. Knowing that A passes point Q 40 s after B was there and that B passes point P 42 s after A was there, determine (a) the uniform accelerations of A and B, (b) when the vehicles pass each other, (c) the speed of B at that time. A108 kra/l 1 km

An aircraft P is flying along a circular path in a vertical plane, and is being tracked by a radar at O. At the point indicated, the aircraft has a horizontal velocity of 540 km/h and no horizontal acceleration. The radius of curvature P 540 km/h | 300 m of the circular path at this point is 1500 m. Determine the following: (a) the acceleration of P. (b) the values of r and Ô (c) the values of i and Ô 400 m

ali 4 Q4// Two cars A and B, approaching each other in adjacent highway lanes. A and B are 0.8 mi apart at t=0, and their speed are 70 mi/h and 40 mi/h respectively when they at P and Q position. Knowing that car A passes point Q 38 s after B was there and that B passes point P 42 s after A was there. Determined: *. a) The uniform acceleration of A - Llä 4 Q4-b)the uniform acceleration of „B blä: 4 Q4-c) when the cars passes each * ,other Lli 3 Q4-d) the speed of B when the .cars passes each other

Chapter 11 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

Ch. 11.1 - A bus travels the 100 miles between A and B at 50...Ch. 11.1 - Two cars A and B race each other down a straight...Ch. 11.1 - A snowboarder starts from rest at the top of a...Ch. 11.1 - Prob. 11.2P Ch. 11.1 - Prob. 11.3P Ch. 11.1 - A loaded railroad car is rolling at a constant...Ch. 11.1 - Prob. 11.5P Ch. 11.1 - Prob. 11.6P Ch. 11.1 - A girl operates a radio-controlled model car in a...Ch. 11.1 - The motion of a particle is defined by the...

Knowledge Booster

Learn more about

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

The acceleration ( a A ) .

Solution Summary: The author calculates the acceleration of car A and the deceleration of the car B.

Concept explainers

Videos

The acceleration (aA).

When (tAB) the vehicle pass each other.

The distance (d) between the vehicles at time (t) is zero.

Want to see the full answer?

Chapter 11 Solutions