24.1 A cannon elevated at 40° is fired at a wall 300 m away orn level ground, as

Question

24.1 A cannon elevated at 40° is fired at a wall 300 m away orn level ground, as shown in Figure Q3.24. The initial speed of the cannonball is 89 m/s a. How long does it take for the ball to hit the wall? A. 1.3 s D. 6.8 s C. 4.4 s B. 3.3s E. 7.2 s b. At what height h does the ball hit the wall? A. 39 m D. 160 m B. 47 m E. 210 m C. 74 m 40° 300 m FIGURE Q3.24 25. ) A car drives horizontally off a 73-m-high cliff at a speed of 27 m/s. Ignore air resistauce. a. How long will it take the car to hit the ground? B. 3.2 s E. 5.0s A. 2.0s C. 3.9s D. 4.9s b. Approximately how far from the base of the cliff will the car hit? A. 75 m B. 90 m C. 100 m D. 170 m To the nearest second, how long will the ball stay in the air? C. 3 s E. 280 m 26.) A football is kicked at an angle of 30 with a speed of 20 m/s. B. 2 s 27.) A football is kicked at an angle of 30 with a speed of 20 m/s. To the nearest 5 m, how far will the ball travel? A. 15 m C. 35 m B. 25 m D. 45 m 28. I Riders on a Ferris wheel move in a circle with a speed of 4.0 m/s. As they go around, they experience a centripetal accel- eration of 2.0 m/s.. What is the diameter of this particular Ferris wheel? A. 4.0 m D. 16 m B. 6.0 m E. 24 m C. 8.0 m 29. 1 Formula One race cars are capable of remarkable accelera- tions when speeding up, slowing down, and turning corners. At one track, cars round a corner that is a segment of a circle of radius 95 m at a speed of 68 m/s. What is the approximate mag nitude of the centripetal acceleration, in units of g? A. 1g D. 4g B. 2g E. 5g C. 3g

Explanation / Answer

24] a] time taken = horizontal distance/ horizontal velocity

= 300/[ 89 cos 40 degree] = 4.4 s

option c is correct

b] By second equation of motion,

height h = 89 sin 40 degree *4.4 - 0.5*9.8*4.4^2

= close to 160 m

option D is correct

25] by second equation of motion,

t = sqrt(2h/g) = sqrt(2*73/9.8) = 3.9 s

option c is correct

b] horizontal distance = vt = 27*3.9 = close to 100 m

option c is correct

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