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- Physics 30S Science & Technology 2240 Grant Ave. Winnipeg. MB R2C IL6 Shaflesbury High School Motion: Speed/Velocity & Acceleration Ad V = At a = Average Velocity, 1. A man jogs 5.0 km (5000 m) in 27 minutes. a) What is the time interval (At) in seconds? b) Calculate his average speed in metres per second (m/s). Average Acceleration, At 2. An object has a position of 13 metres west. 5.0 seconds later it's at 7 metres east. a) What was the initial position? b) What was the change of position or displacement (Ad)? c) What was the average velocity? 3. A world class sprinter runs 100.0 m in 8.90 s. What was his average speed? 4. A hiker gets lost in a forest. He walks half-way around a circle with a radius of 2.1 km in 2.0 hours. a) What distance did he walk? b) What was his average speed? c) What was his displacement? d) What was his average velocity? WE S C-2rr 5. A car has an average highway speed of 90 km/h or 25 m/s. At this speed; how long will it take to drive to Kenora which is 190…94 in x 114 in (24 cm x 29 cm) with Prongs EAR -rocket Portfolio Stenes, inc Distributed 3. A ball is thrown straight up with an initial velocity of 128 ft/sec., so that its height 844106 031076 (in feet) after t seconds is given by s(1) = -16t2 +128 A. What is the average velocity of the ball over the time intervals? a. [2, 3] b. [2, 2.5] c. [2. 2.1] B. What is the instantaneous velocity at time t 2? C. What is the instantaneous velocity at time t-5? Is the ball rising or falling? D. When will the ball hit the ground? An object is dropped from a certain height. It is known that it will fall a distance s, inA bike messenger travels at a constant v = 10m/s for 5s, changes his velocity to v = −2m/sfor 4s, stops for 10s, then rides at 4m/s for 12s.(a) Sketch a velocity vs. time graph for this motion.(b) Sketch a position vs. time graph for this motion.(c) What is the messenger’s average velocity?(d) What is the messenger’s average acceleration?(e) What is the messenger’s average speed?
- Vhich of the following graphs indicates positive velocity? a) b) time time c) d) Time time In the following velocity vs. time graph, what is the displacement between 10 and 15 seconds? velocity (m/min) 80 60 40 time (min) - 20 NO -40 20 position. velocity + positionA motorcycle speed increases from 15 kilometres per hour to 60 kilometres per hour in 20 seconds. Solve average speed, distance travelled and acceleration. Answer in mks.5. The velocity of a particle traveling in a straight line is given byv (6t - 3t) m/s, where t is in seconds. If s = 0 when t= 0, determine the particle's deceleration and position whent= 3 s. How far has the particle traveled during the 3-s time interval, and what is its average speed? Ans: a = -12 m/s? ; s = 0 ; ST= 8 m; (Vsp)avg = 2.67 m/s %3D 6. The position of a narticle along a straight line is given hy s == (1.53.13. 512 + 22 57) ft where tis in
- LC Below is a position graph of an object. What is the instantaneous velocity of the object at e = 3.5 s. x (m) レョA At 20- A. v = 40 m/s B. v = -10 m/s C. v = -20 m/s D. v = 10 m/s 10 0. 0. t(s) 4 1 3.Given graph, whats is the average acceleration at interval 0s to 0.5s, 0.5s to 1.0s and 1.0s to 2.0s? What can you say about their magnitude and direction?d) Find the average velocity over the entire 4. A car starts from rest and accelerates atthe = 112.5m %3D 8 4. A car starts from rest and acceleratesa rate of 2ms for 5 seconds. It maintains velocity for another 5 seconds. It eventua undergoes a uniform deceleration and fin come to rest after further 5 seconds. a) Draw the velocity-time graph for the journey. b) Find the acceleration and deceleration respectively c) Find the total distance travelled during each stage. LEGO period. Solution (a) From the question; 43D0,t%3D5S
- s. Calculate average velocity and speed of the driver. 4. Using V-t graph derive equations of motion (i) v=u + at (ii) s=ut+½ at? 5. A driver of a car travelling at 54km/h applies the brakes decelerates uniformly and, the car stops in 5seconds. Another driver going at 45km/h applies his brakes slower and stopped in 10 seconds. On the same graph paper, plot the velocity -time graph for two cars. Which of the two cars travelled farther after brakes were applied? 6. A truck driver driving on a straight highway with a velocity of 90km/h suddenly notices a child on the (iii) v²=u²+2as. highway at 500m distance. If his response time is 3s then calculate the retardation which he should apply on brakes to just avoid the accident. 7. A stone is thrown vertically upward direction with a velocity of 39.2m/s. If the acceleration of the stone during its motion is 9.8 ms in the downward direction , what will be the height attained by the stone and how much time will it take to reach there? 8.…A runner travels at the following speeds: A. 11.5 km/hr for 3.71 min. B. 10.6 km/hr for 2.39 min. C. 14.5 km/hr for 1.92 min. Determine the average velocity over the entire interval and report your result in km/hr.11. A car has an initial speed of 20 m/s and an acceleration of -1m/s^2. Find the displacement ( m) after the first 10 seconds * O a) 12 m O b) 15 m O c) 42 m O d) 50. m O nota