Question 125: Motion in 1D

Question

Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction at an interval of 3s with the same initial velocity of 35 m/s, then these balls collide at a height of ............... m. (Take g = 10 m/s
2
)

Accepted Answer

When both balls will collide
y
1
= y
2
$$35t - {1 \over 2} 	imes 10 	imes {t^2} = 35(t - 3) - {1 \over 2} 	imes 10 	imes {(t - 3)^2}$$
$$35t - {1 \over 2} 	imes 10 	imes {t^2} = 35t - 105 - {1 \over 2} 	imes 10 	imes {t^2} - {1 \over 2} 	imes 10 	imes {3^2} + {1 \over 2} 	imes 10 	imes 6t$$
0 = 150 $$-$$ 30 t
t = 5 sec
$$	herefore$$ Height at which both balls will collied
$$h = 35t - {1 \over 2} 	imes 10 	imes {t^2}$$
$$ = 35 	imes 5 - {1 \over 2} 	imes 10 	imes {5^2}$$
h = 50 m

Motion in 1D

Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction at an interval of 3s with the same initial velocity of 35 m/s, then these balls collide at a height of ............... m. (Take g = 10 m/s 2 )

Integer / Numeric Answer Type