A projectile (Object A) sits just on the edge of a 1.500 m high ledge. Its target (Object B) sits at rest directly below it. Object A is launched into the air with an acceleration of 3.00 m/s² at an angle of 30° above the horizontal. After 1.000 s, Object A is in free fall. At the same moment the projectile is launched into the air, Object B starts moving from rest on the ground in the same general direction as Object A. (a) What are the coordinates of the Object A the instant it starts free falling? (b) What is the maximum height of Object A, as measured from the height of Object B? (c) At what horizontal coordinate does Object A reach the height of Object B? (d) What acceleration must Object B have in order to collide with Object A?
A projectile (Object A) sits just on the edge of a 1.500 m high ledge. Its target (Object B) sits at rest directly below it. Object A is launched into the air with an acceleration of 3.00 m/s² at an angle of 30° above the horizontal. After 1.000 s, Object A is in free fall. At the same moment the projectile is launched into the air, Object B starts moving from rest on the ground in the same general direction as Object A. (a) What are the coordinates of the Object A the instant it starts free falling? (b) What is the maximum height of Object A, as measured from the height of Object B? (c) At what horizontal coordinate does Object A reach the height of Object B? (d) What acceleration must Object B have in order to collide with Object A?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:3. A projectile (Object A) sits just on the edge of a 1.500 m high ledge.
Its target (Object B) sits at rest directly below it. Object A is launched
into the air with an acceleration of 3.00 m/s² at an angle of 30° above
the horizontal. After 1.000 s, Object A is in free fall. At the same
moment the projectile is launched into the air, Object B starts moving
from rest on the ground in the same general direction as Object A.
(a) What are the coordinates of the Object A the instant it starts free
falling?
(b) What is the maximum height of Object A, as measured from the
height of Object B?
(c) At what horizontal coordinate does Object A reach the height of
Object B?
(d) What acceleration must Object B have in order to collide with
Object A?
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Step 1: Determine the given data:
VIEWStep 2: a) Calculate the coordinate of A at which it starts free falling:
VIEWStep 3: b) Calculate maximum height of A:
VIEWStep 4: c) Determine the horizontal coordinate at which A reaches height of B:
VIEWStep 5: d) determine the acceleration of B:
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