A projectile is fired from the ground, reaches a maximum height of 70.7 m and lands a distance of 29.2 m away from the launch point. What was the projectile s launch velocity?     63.6 m/s, 12.6 degrees above horizontal     37.4 m/s, 84.1 degrees above horizontal     37.2 m/s, 42.1 degrees above horizontal     3.8 m/s, 25.2 degrees above horizontal

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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  1. A projectile is fired from the ground, reaches a maximum height of 70.7 m and lands a distance of 29.2 m away from the launch point. What was the projectile s launch velocity?
       
    63.6 m/s, 12.6 degrees above horizontal
       
    37.4 m/s, 84.1 degrees above horizontal
       
    37.2 m/s, 42.1 degrees above horizontal
       
    3.8 m/s, 25.2 degrees above horizontal
Expert Solution
Step 1

we have given,

Maximum height (Hmax) = 70.7 m 

Hmax is given by 

Hmaxu2sin2θ2g = 70.7

u2sin2θ = 70.7 x 2 g = 1385.72     - - - -- -- - - - (i) 

Horizontal distance or Range (R) = 29.2 m 

Range R is given as,

R = u×cosθ ×T = u×cosθ ×2×u×sinθg= 2u2sinθcosθg= 29.2   - - - - - (ii) 

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