Based on the fact that matter will accelerate 9.8 m/s when going down due to gravity, we first subtract 4 m/s, this gives 148.4 meters left. Now, for each second, we add 9.8 m/s to the velocity. First, the speed will increase to 13.8 m/s, so at 2 seconds, the ball will have traveled 17.8 meters down, with 134.6 meters to go. At 3 seconds, the ball will be traveling at 23.6 m/s, so at 3 seconds it's traveled 41.4 meters and has 111 meters to go. At 4 seconds, it's traveling at 33.4 m/s, so 74.8 total meters now, and has 77.6 meters to go. At 5 seconds, it travels at 43.2 m/s, so now its 118 total meters. Now at 6 seconds, it would travel 53 m/s but there isn't that amount of meters left. So we can make a proportion of x/10=34.4/53 (10 for the number of deciseconds in a second and 34.4 for the number of meters left). This means that 53x=344, or x=6.49. Now we can convert this amount of time from a decisecond to a decimal of a second, meaning that the amount of time it takes for the ball to hit the ground is 5 seconds plus 0.649 seconds, or 5.649 seconds
The answer is 5.649 seconds, respectively.
Hope this helps.
Answer:
Step-by-step explanation:
According to Pythagoras Theorem a² + b² = c²
And the questio is having a right triangle in it so,
(Height of the building)² + (Length of the shadow)² = (The distance from the top of the building to the tip of the shadow)²
⇒ a² + (12)² = (20)²
⇒ a² = (20)² - (12)²
⇒ a² = 400 - 144
⇒ a² = 256
⇒ a = √256
⇒ a = 16
Answer:
13r
Step-by-step explanation:
-First, collect like terms by calculating the sum or difference of their coefficients.
(7-3+9)r
-Then, calculate the sum or difference and you get..
13r.
Hope this helps! :)
Answer:
3.42
Step-by-step explanation:
Answer:
177.755
Step-by-step explanation:
177.755 is it as a decimal
