### Physics Problem: Comparing Distances under Constant AccelerationTom was running with his uncle. They both started from rest and ran with a constant positive acceleration the entire time. Both Tom and his uncle had the same acceleration. Tom’s uncle stopped at time 2t while Tom was still running. Tom ran until time 4t and then he stopped. Compared with his uncle, Tom ran a distance:- ○ one-half as far- ○ Twice as far- ○ 1.4 times as far- ○ four times as far- ○ five times as far### Explanation:The key concept to solve this problem involves understanding the relationship between time, acceleration, and distance traveled. For an object starting from rest and moving with constant acceleration, the distance \( s \) it travels is given by the formula:\[ s = \frac{1}{2} a t^2 \]Where \( a \) is the acceleration and \( t \) is the time.- **For Tom’s uncle**: He stopped at time \( 2t \), so the distance he traveled is: \[ s_{\text{uncle}} = \frac{1}{2} a (2t)^2 = 2a t^2 \]- **For Tom**: He ran until time \( 4t \), so the distance he traveled is: \[ s_{\text{Tom}} = \frac{1}{2} a (4t)^2 = 8a t^2 \]Therefore, compared with his uncle, Tom ran:\[ \text{Distance ratio} = \frac{s_{\text{Tom}}}{s_{\text{uncle}}} = \frac{8a t^2}{2a t^2} = 4 \]Tom ran four times as far as his uncle.

Name: ### Physics Problem: Comparing Distances under Constant AccelerationT
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: ### Physics Problem: Comparing Distances under Constant AccelerationTom was running with his uncle. They both started from rest and ran with a constant positive acceleration the entire time. Both Tom and his uncle had the same acceleration. Tom’s un

Given data: Initial velocity = u Constant acceleration = a Tom's uncle stopped in time (t1) = 2t…

Science

Physics

Tom was running with his uncle. They both started from rest and ran with a constant positive acceleration the entire time. Both Tom and his uncle had the same acceleration. Tom's uncle stopped at time 2t while Tom was still running. Tom ran until time 4t and then he stopped. Compared with his uncle, Tom ran a distance: one-half as far OTwice as far O 1.4 times as far O four times as far O five times as far

Tom was running with his uncle. They both started from rest and ran with a constant positive acceleration the entire time. Both Tom and his uncle had the same acceleration. Tom's uncle stopped at time 2t while Tom was still running. Tom ran until time 4t and then he stopped. Compared with his uncle, Tom ran a distance: one-half as far OTwice as far O 1.4 times as far O four times as far O five times as far

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)...

See similar textbooks

Similar questions

A driver is driving uphill. He maintained his throttle, causing his car to constantly decelerate as it is coming up the hill. The road going up the hill is 217 m long and it took him 8.8 seconds to get to the top of the hill. His speed has reduced to 22 m/s at that point. What was the car's acceleration (include a negative sign in your answer)? Hint: the initial position of the car can be set at the origin.
1
Tom was running with his uncle. They both started from rest and ran with a constant positive acceleration the entire time. Both Tom and his uncle had the same acceleration. Tom's uncle stopped at time t while Tom was still running. Tom ran until time 4t and then he stopped. Compared with his uncle, Tom ran a distance: eight times as far four times as far sixteen times as far Twice as far O 1.4 times as far
5. A. How long does it take Viserion with his Queen Danaerys to take off if it needs toreach a speed on the ground of 350 km/h over a distance of 600m. (assume Viserionwith Queen Danaerys starts from rest)? B. What is the acceleration of Viserion with Queen Danaerys after 600m?
2. A piece of stone was thrown straight upward with a speed of 20.0 m/s. it was caught on its way down at a point 5 m above where it was thrown. A) How fast was it going when it was caught? B) How long did the trip take? 3.
Q#1: To defeat a demon, Inosuke, the boar headed demon slayer in the middle, sprints and reaches his maximum speed Vmax in 2.5 seconds from rest with constant acceleration. He then maintains that speed and reaches 100 yards in an overall time of 9.60 seconds. Determine his maximum speed vmax- 2mene GP Ame None of the other 117.75 m/s 10.95 m/s 35.9 m/s 3.65 m/s choices
When Charlie found the Golden Ticket, he ran home to show Grandpa Joe. At first, he 5.3 s, but then a man told him to run home as fast as he could. Charlie then jogged at m 8.7 s over 4.1 s to run the rest of the way home. What was Charlie's sped up to acceleration?
A car decelerates at 2.0 m/s 2 and comes to a stop after travelling 25 m. Find the time required to come to a stop.? O a. 2.5 S O b. 5 S 10 S O d. 100 S
A train, traveling at a constant speed of 22.0 m/s, comes to an incline with a constant slope. While going up the incline, the train slows down with a constant acceleration of magnitude 1.40 m/s². 1. What is the speed of the train after 7.40 s on the incline? 2.How far has the train traveled up the incline after 7.40 s?
fast plz
Please Asap
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