A car accelerates from zero to a speed of 36 km/h in 15 s. Calculate the acceleration of the car in m/s². i. ii. If the acceleration is assumed to be constant, how far will the car travel in 1minute? iii. Calculate the speed of the car after 1 minute.
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- A cheetah sees a gazelle running at a constant speed of 12.4 m/s. The gazelle is 15 m ahead of the cheetah. The cheetah starts from rest to chase (with constant acceleration) the gazelle. After 4.2 s the cheetah catches the gazelle. a.)Determine the distance that cheetah traveled before it catches the gazelle. b.) What is the acceleration of the cheetah? c.) What is the cheetah's speed when it catches the gazelle?1. Rushin is waiting at a stoplight. When it finally turns green, Rushin accelerated from rest at a rate of a 2.00 m/s² for a time of 15 seconds. Determine the velocity of Rushin's car during this time period. -30 m/s? с. 7.5 m/s a. b. 30 m/s? d. 30 m/s 2. Ima is approaching a stoplight moving with a velocity of +30.0 m/s. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima has an acceleration rate of 8.00 m/s², determine the displacement of the car during the skidding process. 56.3 m cannot determine a. с. b. 240 m d. 4.3 m 3. A car slows down uniformly from a speed of 21.0 m/s to rest in 6.00 seconds. What was its average velocity? How far did it travel in that time? 10.5 m/s; 0.29 m 10.5 m/s; 63 m b. 21.0 m/s ;126 m a. с. d. cannot determine6. A car starts from rest and accelerates at a rate of 1.8 m/s² West for 15s. It goes at a constant velocity for 50s and then accelerates at a rate of 2.1m/s² East for 10 s. Use West as the positive direction. a. Draw an acceleration graph for this situation. Remember to quantitatively label your axes. a (m/812) t(s) 0-15 15-65 65-75 b. What is the change in velocity for each time interval? Av (m/s) t(s) Draw a velocity graph for this situation. Remember to quantitatively label your axes. v (m/s) E t(s) d. What is the total displacement between t-Os and t= 75 s?
- Q1.An electron, in a picture tube of a TV set, travelling in a straight line, accelerates uniformly from speed 4.3x10^4 to 9.0x10^6 m/s along a lenght of 2.3 cm. (15) a. How much time does the electron spend in this 2 cm region? b. What is the magnitude of the electron's acceleration?4. Marcus throws a rock straight up into the air. It leaves his hand 1.2 meters above the ground, and it hits the ground 3.5 seconds later. Find a. the initial speed of the rock when it leaves his hand b. the maximum height the rock reaches before falling back down, relative to the ground c. the speed of the rock right before it hits the groundCoasting due West on your bicycle at 9.6 m/s, you encounter a sandy patch of road 6.7m across. When you leave the sandy patch your speed has been reduced by 3.8m/s to 5.8 m/s. a. Assuming the sand causes a constant acceleration, what was the bicycle’s acceleration in the sandy patch? Give both the magnitude and direction. b. How long did it take to cross the sandy patch? c. Suppose you enter the sandy patch with a speed of only 7.6 m/s. Is your final speed in this case 3.4m/s, more than 3.4m/s, or less than 3.4 m/s? Explain.
- Include a picture or description of your coordinate system (origin, positive direction).3. Jakub is driving at 25.0 m/s when he sees the speed limit so he slows down (decelerates) at -4.0 m/s2 for 4.0 seconds. a. Calculate Jakub's final speed. Ax D V = V=HOW?An automobile travels on straight road for 39km at 24km/h. If then continues in the same direction for another 39 km at 48km/h. a. What is the average velocity of the car during his 78 km trip? (Assume that it moves positive direction) b. What is the average speed?
- 1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.At 10:17 a.m., you pass a police car at 55 mph that is stopped on the freeway. You pass a second police car at 55 mph at 10:53 a.m., which is located 39 mi from the first police car. If the speed limit is 60 mph, can the police cite you for speeding? а. a. The total time between your two police car sightings was P hours. b. Your average speed between the two police car sightings was 8, mph. c. Can the police cite you for speeding? No, your average speed was less than the speed limit. CYes, since your average speed was more than the speed limit, there must have been somewhere within the 39 mi where you were driving more than 60 mph.A car is driving on I-80 traveling at 75 mph. It passes a police officer on the side of the road who is stationary. The moment that the car passes the police officer, the officer accelerates at a constant rate of 20 ft/s2 until she reaches a speed of 80 mph. At that point, her speed is maintained. a. How far does the police car travel before reaching its full speed (in ft)? b. How far does the car travel while the police car is speeding up (in ft)? c. How far does the police car travel before catching up with the car (in ft)?