With what speed should a body be thrown upwards so that the distances traversed in the 5th second and 6th second are equal?

(a) 58.4 m/s

(b) 49m/s

(c) 98 m/s
(d) √98 m/s

(d)

√98 m/s

√98 m/s

√98 m/s

Question

With what speed should a body be thrown upwards so that the
distances traversed in the 5th second and 6th second are equal?
(a) 58 4 m/s
(b) 49m/s
(c) 98 m/s
(d) √98 m/s
(d)
√98 m/s
√98 m/s
√98 m/s

Jyoti Pant · Accepted Answer

Let u be the initial velocity of the ball Distance travelled in the nth sec is given by,

Distance covered in the 5th second is, (The acceleration due to gravity is opposite to the motion of the ball) $S_{5} = u + \frac{1}{2} \times (- 9 8) \times (2 \times 5 - 1) = u - 44 1 D i s \tan c e cov e r e d i n t h e 6 t h \sec o n d S_{6} = u + \frac{1}{2} \times (- 9 8) \times (2 \times 6 - 1) = u - 53 9 N o w a p p l y t h e c o r r e c t c o n d i t i o n o f y o u r q u e s t i o n t o g e t u$

With what speed should a body be thrown upwards so that the distances traversed in the 5th second and 6th second are equal? (a) 58.4 m/s (b) 49m/s (c) 98 m/s (d) √98 m/s (d) √98 m/s √98 m/s √98 m/s

With what speed should a body be thrown upwards so that the distances traversed in the 5th second and 6th second are equal?

(a) 58.4 m/s

(b) 49m/s

(c) 98 m/s
(d) √98 m/s

(d)

√98 m/s

√98 m/s

√98 m/s