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Three m/s within the confident y-direction; (b) 1. zero m/s within the confident y-direction; (c) zero. eighty three m/s within the adverse y-direction 2. 32 A physique with preliminary speed eight. zero m/s strikes alongside a directly line with consistent acceleration and travels 640 m in forty s. For the forty s period, ®nd (a) the common pace, (b) the ®nal pace, and (c) the acceleration. Ans. (a) sixteen m/s; (b) 24 m/s; (c) zero. forty m/s2 2. 33 A truck starts off from relaxation and strikes with a continuing acceleration of five. zero m/s2 . locate its velocity and the gap traveled after four. zero s has elapsed. Ans. 20 m/s, forty m 2. 34 A field slides down an incline with uniform acceleration. It begins from relaxation and attains a pace of two. 7 m/s in three. zero s. locate (a) the acceleration and (b) the space moved within the ®rst 6. zero s. Ans. (a) zero. ninety m/s2 ; (b) sixteen m 2. 35 A automobile is accelerating uniformly because it passes checkpoints which are 30 m aside. The time taken among checkpoints is four. zero s, and the car's pace on the ®rst checkpoint is five. zero m/s. locate the car's acceleration and its velocity on the moment checkpoint. Ans. 1. three m/s2 , 10 m/s 2. 36 An auto's speed raises uniformly from 6. zero m/s to twenty m/s whereas masking 70 m in a immediately line. locate the acceleration and the time taken. Ans. 2. 6 m/s2 , five. four s 2. 37 A airplane starts off from leisure and speeds up in a directly line alongside the floor ahead of takeo. It strikes six hundred m in 12 s. locate (a) the acceleration, (b) velocity on the finish of 12 s, and (c) the gap moved throughout the 12th moment. Ans. (a) eight. three m/s2 ; (b) zero. 10 km/s; (c) ninety six m 2. 38 A teach working alongside a instantly song at 30 m/s is slowed uniformly to a cease in forty four s. locate the acceleration and the preventing distance. Ans. À0:68 m/s2 , zero. sixty six km or 6:6 Â 102 m 2. 39 An item relocating at thirteen m/s slows uniformly on the price of two. zero m/s each one moment for a time of 6. zero s. make certain (a) its ®nal pace, (b) its regular pace throughout the 6. zero s, and (c) the gap moved within the 6. zero s. Ans. (a) 1. zero m/s; (b) 7. zero m/s; (c) forty two m 2. forty A physique falls freely from relaxation. locate (a) its acceleration, (b) the space it falls in three. zero s, (c) its velocity after falling 70 m, (d ) the time required to arrive a pace of 25 m/s, and (e) the time taken to fall three hundred m. Ans. (a) nine. eighty one m/s2 ; (b) forty four m; (c) 37 m/s; (d ) 2. 6 s; (e) 7. eight s 2. forty-one A marble dropped from a bridge moves the water in five. zero s. Calculate (a) the rate with which it moves and (b) the peak of the bridge. Ans. (a) forty nine m/s; (b) zero. 12 km or 1:2 Â 102 m 2. forty two A stone is thrown instantly downward with preliminary velocity eight. zero m/s from a top of 25 m. locate (a) the time it takes to arrive the floor and (b) the rate with which it moves. Ans. (a) 1. 6 s; (b) 24 m/s 26 UNIFORMLY sped up movement [CHAP. 2 2. forty three A baseball is thrown directly upward with a velocity of 30 m/s. (a) How lengthy will it upward push? (b) How excessive will it upward thrust? (c) How lengthy after it leaves the hand will it go back to the start line? (d ) whilst will its velocity be sixteen m/s? Ans. (a) three. 1 s; (b) forty six m; (c) 6. 1 s; (d ) 1. four s and four. 7 s 2. forty four A bottle dropped from a balloon reaches the floor in 20 s.